# Frank Learning Maths Class 5 Solutions Chapter 8

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## Frank Learning Maths Class 5 Solutions Chapter 8 Decimals and Percentage

Welcome to NCTB Solution. Here with this post we are going to help 5th class students for the Solutions of Frank Learning Maths Class 5 Book, Chapter 8 Decimals and Percentage. Here students can easily find step by step solutions of all the problems for Decimals and Percentage. Here students will find solutions for Exercise 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10 and 8.11. Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily. Here in this post all Mathematic solutions are based on the CBSE latest curriculum.

Decimals and Percentage Exercise 8.1 Solution

Question number – (1)

Solution :

(a) 46.48

= 4 tenths

(b) 15.72

= 2 hundredths

(c) 567.1014

= 4 ten thousandths

(d) 126.247

= 7 thousandths

(e) 4.67890

= 8 thousandths

(f) 18.967

= 9 tenths

Question no – (2)

Solution :

(a) Eight-tenths

= 0.8

(b) six and five-tenths three-hundredths

= 6.53

(c) Five hundreds and one-thousandth

= 500.001

(d) Five-tenths four-hundredths eight-thousandths

= 0.548

(e) Nine hundreds and six-hundredths three-thousandths

= 900.063

(f) Ten point two zero six

= 10.206

(g) One hundred forty-seven point three four

= 147.34

(h) six-thousandths

= 0.006

Question no – (3)

Solution :

(a) 33.3

= Thirty-three and three-tenths

(b) 13.76

= Thirteen and seven tenths six hundredths

(c) 30.02

= Thirty and two hundredths

(d) 1.054

= One and five hundredths four thousandths

(e) 0.067

= six hundredths seven thousandths

(f) 56.908

= Fifty six and nine tenths eight-thousandths

(g) 178.097

= One hundred seventy eight and nine hundredths seven thousandths

(h) 291.110

= Two hundred ninety-one and one tenth one hundredth.

Question no – (5)

Solution :

(a) 21.782

In expanded fractional form,

= 20 + 1 + 7/10 + 8/100 + 2/100

(b) 45.12

In expanded fractional form,

= 40 + 5 + 1/10 + 2/100

(c) 10.025

In expanded fractional form,

= 10 + 2/100 + 5/1000

(d) 110.120

In expanded fractional form,

= 100 + 10 + 1/10 + 2/100

(e) 12.525

In expanded fractional form,

= 10 + 2 + 5/10 + 2/100 + 5/1000

Decimals and Percentage Exercise 8.2 Solution

Question no – (1)

Solution :

(a) As per the question, 7/100

In decimal = .07

(b) Given,

In decimal = 7.3

(c) Given,

In decimal = 4.07

(d) Given,

In decimal = 12.003

(e) Given,

In decimal = 0.8

(f) Given,

In decimal = 0.56

(g) Given

In decimal = 0.42

(h) Given,

In decimal = 0.064

(i) Given,

In decimal = 6.5

(j) Given,

In decimal = 11.25

(k) Given,

In decimal = 3.2

(l) Given

In decimal = 3.25

Question no – (2)

Solution :

(a) 0.4 as a fraction.

= 4/10

(b) 3.5 as a fraction.

= 35/10

(c) 0.19 as a fraction.

= 19/100

(d) 3.21 as a fraction.

= 321/100

(e) 65.34 as a fraction.

= 6534/100 as a fraction.

(f) 0.125 as a fraction.

= 125/1000

(g) 13.085 as a fraction.

= 13085/1000

(h) 15.129 as a fraction.

= 15129/1000

(i) 7.101 as a fraction.

= 7101/1000

(j) 78.191 as a fraction.

= 78191/1000

Decimals and Percentage Exercise 8.3 Solution

Question no – (1)

Solution :

(a) like decimals are,

= 3.45, 141.01;

= 18.3, 39.9

(b) like decimals are,

= 12.15, 3.75;

= 144.632, 0.149

(c) like decimals are,

= 8.43, 119.87;

= 16.009, 8.114

(d) like decimals are,

= 115.125, 5.689;

= 8.5, 195.8

Question number – (2)

Solution :

(a) Unlike decimals = 11.5, 11.738, 512.51

Like decimals = 11.500, 11.738, 512.510

(b) Unlike decimals = 745.09, 39.118, 12.8

Like decimals = 745.090, 39.118, 12.800

(c) Unlike decimals = 81.5, 394.26, 0.489

Like decimals = 81.5000, 394.260, 0.489

(d) Unlike decimals = 346.62, 439.1, 30.623

Like decimals = 346.620, 439.100, 30.623

Question number – (3)

Solution :

(a) 6.7 [6.17, 6.71, 6.700, 0.67]

= 6.7 → 6.700

So, 6.7 is equivalent to 6.700

(b) 10.01 [ 10.10, 10.100, 10.1, 10.010]

= 10.01 → 10.010

So, 10.01 is equivalent to 10.010

(c) 144.89 [144.98, 144.890, 104.89, 114.89]

= 144.89 → 144.890

So, 144.89 is equivalent to 144.890

Question number – (4)

Solution :

(a) Given decimal, 6.5

∴ Two more equivalent decimals,

= 6.50

= 6.500

(b) Given decimal, 11.80

Two more equivalent decimals,

= 11.80

= 11.800

(c) Given decimal, 91.700

Two more equivalent decimals,

= 91.70

= 91.7000

(d) Given decimal, 51.4

Two more equivalent decimals,

= 51.40

= 51.400

Decimals and Percentage Exercise 8.4 Solution

Question no – (1)

Solution :

(a) 37.17 < 37.7

(b) 144.2 > 87.489

(c) 75.5 = 75.500

(d) 8.345 < 80.45

(e) 78.190 < 87.91

(f) 197.1 > 97.95

Question number – (2)

Solution :

(a) Given numbers, 43.50, 4.350, 453.0, 405.3

Greatest number = 453.0

Lowest number = 4.350

(b) Given numbers, 146.267, 1462.67, 1647.62, 1764.26

Greatest number = 1764.26

Lowest number = 146.267

(c) Given numbers, 2471.41, 2174.14, 27141.4, 271.414

Greatest number = 27141.4

Lowest number = 271.414

(d) Given numbers, 462.4781, 46.24781, 424.7816, 4781.426

Greatest number = 4781.426

Lowest number = 46.24781

Question no – (3)

Solution :

(a) Given numbers, 8.60, 80.6, 86.0, 8.06

Now, in ascending order,

= 8.06 < 8.60 < 80.6 < 86.0

(b) Given numbers, 46.74, 47.64, 44.76, 46.47

Now, in ascending order,

= 44.76 <46.47 <46.74 <47.64

(c) Given numbers, 96.071, 90.671, 9.0671, 97.601

Now, in ascending order,

= 9.0671 <152.763 <156.724 <157.624

(d) Given numbers, 156.724, 152.673, 157.624, 152.763

Now, in ascending order,

= 152.673 <152.763 <156.724 <157.624

Question no – (4)

Solution :

(a) Given numbers, 60.68, 6.80, 60.08, 6.008

Now, in descending Order,

= 60.68 > 60.08 > 6.80 > 6.008

(b) Given numbers, 550.93, 553.09, 590.35, 559.03

Now, in descending Order,

= 590.35 >539.03 >553.09 >550.93

(c) Given numbers, 461.230, 46.123, 41.623, 42.163

Now, in descending Order,

= 461.230 > 46.123 > 42.163> 41.623

(d) Given numbers, 54.448, 54.440, 54.442, 54.404

Now, in descending Order,

= 54.448 > 54.442 > 54.440 > 54.404

Decimals and Percentage Exercise 8.5 Solution

Question no – (1)

Solution :

(a) Given, 27.1 + 0.3

27.1
+ 0.3
————————
27.4

(b) Given, 42.86 + 20.13

42.86

+ 20.13
————————
62.99

(c) Given, 157.241 + 23.42

157.241

+ 23.420
————————
180.661

(d) Given, 46.401 + 322.128

46.401

+ 322.128
————————
268.529

(e) Given, 812.369 + 0.771

812.369

+ 0.771
————————
813.140

(f) Given, 216.6 + 0.004 + 4.681

216.600

+ 0.004

+ 4.681
————————
221.285

(g) Given, 164.12 + 14 + 123.71

164.12

+ 14.00

+ 123.71
————————
301.83

(h) Given, 28.074 + 0.66 + 15.445

28.074

+ 0.660

+ 15.445
————————
44.179

Question no – (2)

Solution :

(a) Given, 7.6 – 1.4

7.6

– 1.4
————————
6.2

(b) Given, 1.25 – 0.1

1.25

– 0.10
————————
1.15

(c) Given, 27.58 – 0.22

27.58

– 0.22
————————
27.36

(d) 240 – 201.54

240.00

– 201.54
————————
38.46

(e) Given, 12.993 – 2.28

12.993

– 2.280
————————
10.713

(f) Given, 12.170 – 1.387

12.170

– 1.387
————————
10.783

(g) Given, 115.551 – 111.621

115.557

– 111.621
————————
3.930

(h) Given, 37 – 0.031

37.000

– 0.031
————————
36.969

Decimals and Percentage Exercise 8.6 Solution

Question no – (1)

Solution :

(a) 4.79 × 10

= 4.79 × 10

= 47.9

(b) 39.145 × 10

= 39.145 × 10

= 391.45

(c) 82.483 × 100

= 82.483 × 100

= 8248.3

(d) 0.65 × 100

= 0.65 × 100

= 65

(e) 114.01 × 100

= 114.01 × 100

= 11401

(f) 345.19 × 1000

= 345.19 × 1000

= 345190

(g) 436.385 × 1000

= 436.385 × 1000

= 436385

(h) 0.008 × 1000

= 0.008 × 1000

= 8

(i) 2.16 × 80

= 2.16 × 80

= 172.8

(j) 17.5 × 40

= 17.50 × 40

= 700

(k) 8.814 × 500

= 8.814 × 500

= 4407

(l) 20.74 × 300

= 20.74 × 300

= 6222

(m) 25.25 × 6000

= 25.25 × 6000

= 151500

(n) 19.365 × 2000

= 19.365 × 2000

= 38730

Question no – (2)

Solution :

(a) 2.7 × 0.6

= 2.7 × 0.6

= 162/100

= 1.62
So, the product is 1.62

(b) 7.26 × 4

= 7.26 × 4

= 29.04

So, the product is 29.04

(c) 5.04 × 2.8

= 5.04 × 2.8

= 14.112

So, the product is 14.112

(d) 21.12 × 5

= 21.12 × 5

= 105.6

So, the product is 105.6

(e) 26.72 × 1.2

= 26.72 × 1.2

= 32.064

So, the product is 32.064

(f) 0.008 × 12.56

= 0.008 × 12.56

= 0.12448

So, the product is 0.12448

(g) 46.7 × 13.8

= 4.67 × 13.8

= 644.46

So, the product is 644.46

(h) 6.789 × 0.4

= 6.689 × 0.4

= 2.6750|

So, the product is 2.6750

(i) 150.5 × 0.002

= 1505/10 × 2/10000

= 301/10000

= 0.301

So, the product is 0.301

Decimals and Percentage Exercise 8.7 Solution

Question no – (1)

Solution :

(a) 98 ÷ 10

= 98 ÷ 10

= 9.8

Therefore, the Quotient is = 9.8

(b) 234 ÷ 100

= 234 ÷ 100

= 2.34

Therefore, the Quotient is = 2.34

(c) 6405 ÷ 1000

= 6405 ÷ 1000

= 6.405

Therefore, the Quotient is = 6.405

(d) 45.5 ÷ 10

= 45.5 ÷10

= 4.55

Therefore, the Quotient is = 4.55

(e) 395.6 ÷ 100

= 395.6 ÷ 100

= 3.956

Therefore, the Quotient is = 3.956

(f) 482.16 ÷ 1000

= 482.16 ÷ 1000

= 0.48216

Therefore, the Quotient is = 0.48216

(g) 39.1 ÷ 1000

= 39.1 ÷ 1000

= 0.0391

Therefore, the Quotient is = 0.0391

(h) 2.46 ÷ 30

= 246/100 × 1/30

= 82/1000

= 0.082

Therefore, the Quotient is = 0.082

(i) 38.14 ÷ 50

= 3814/100 × 1/50

= 1907/2500

= 0.7628

Therefore, the Quotient is = 0.7628

(j) 4.86 ÷ 200

= 486/100 × 1/200

= 243/1000

= 0.0243

Therefore, the Quotient is = 0.0243

Question no – (2)

Solution :

(a) 18.0 ÷ 3

= 6.0

So, the Quotient is = 6.0

(b) Given 56.64 ÷ 2

So, the Quotient is = 28.32

(c) 40.96 ÷ 16

So, the Quotient is = 2.56

(d) Given, 188.28 ÷ 12

So, the Quotient is = 15.69

(e) Given, 269.28 ÷ 204

So, the Quotient is = 1.32

(f) Given, 6.300 ÷ 2.1

So, the Quotient is = 3

(g) Given, 56.4 ÷ 4.8

So, the Quotient is = 1.75

(h) Given, 2.112 ÷ 6.6

So, the Quotient is = 0.32

(i) Given, 10.15 ÷ 1.45

So, the Quotient is = 7

(j) Given, 0.225 ÷ 0.25

So, the Quotient is = 0.9

Question no – (3)

Solution :

(a) 81 ÷ 0.9

= 81/0.9

= 81 × 10/9

= 90

(b) 99 ÷ 1.1

= 99/11

= 99 × 10/11

= 90

(c) 4620 ÷ 2.5

= 4620/2.5

= 4620 × 10/25

= 1848

(d) 69 ÷ 0.23

= 69/023

= 69 × 100/23

= 300

(e) 525 ÷ 1.68

(f) 3 ÷ 0.05

= 3/0.05

= 3 × 100/5

= 60

(g) 221 ÷ 0.017

= 221/0.017

= 221 × 1000/17

= 13, 000

(h) 26.78 ÷ 0.103

= 26.78/0.103

= 2678 × 1000/103 × 100

= 260

Decimals and Percentage Exercise 8.8 Solution

Question number – (1)

Solution :

In the given question,

Three pieces of wood measuring lengths = 2.46 m, 1.35 m and 0.92 m.

Total length of the wood pieces = ?

Total length,

= (Sum of the Three pieces of wood)

= 2.46 + 1.35 + 0.92

= 4.73 m

So, the total length of the wood pieces is 4.73 m.

Question number – (2)

Solution :

Given in the question,

Raju spends for ice-cream = ₹ 12.06

Raju spends for snacks = ₹ 63.24

Raju spends for a movie ticket = ₹ 90.90

His total spend,

= (ice-cream + snacks + movie ticket)

= 12.06 + 63.24 + 90.90

= 166.2

So, Raju spend Rs. 166.2 in all.

Question number – (3)

Solution :

In the given question we get,

Sara has a lace measuring = 16.70 m.

She wants to cut out a piece of = 8.45 m

Lace left with Sara,

= (total measuring of lace – measure of cut out a piece)

= (16.70 – 8.45)

= 8.25 m

So, 8.25 m lace will be left with Sara.

Question number – (4)

Solution :

From the question we get,

A man weighs 97.5 kg.

He losses 13.8 kg.

His weigh now = ?

He weigh now,

= (Total weight – loosing weight)

= (97.5 – 13.8)

= 83.7 kg

So, the man now weigh 83.7 kg

Question number – (5)

Solution :

In the question we get,

Preeja joined 27 pieces of 1.50 m

Total length of the ribbon = ?

Total length,

= 27 × 1.50

= 40.5 m

So, the total length of the ribbon 40.5 m

Question number – (6)

Solution :

In the question,

A man worked for 30 hours at the rate of = ₹ 110.50 per hour.

money did he earn = ?

He earn in 30 hours,

If 1 hours = 110.50

30 × 110.50

= 3315

So, the man will earn Rs. 3315 in 30 hours.

Question number – (7)

Solution :

From the question we get,

Allen purchased 2.3 m of cloth = Rs. 78.50 per metre,

The amount spent by him = ?

He spent,

= 78.5 × 2.3

= 108.55

So, the amount spent by him is Rs. 108.55

Question number – (8)

Solution :

According to the question,

Cloth is required for making 1 suit = 2.5 m

Suits can be made from 20 m = ?

Suits can be made,

= 20/2.5

= 20 × 10/20

= 8

So, 8 suits can be made from 20 m cloth.

Question number – (9)

Solution :

Given in the question,

Bunty used 16 litres of petrol to cover = 157.6 km.

kilometres covered in 1 litre of petrol = ?

Km cover by the petrol,

= 157.6/16

= 9.85 km

So, 9.85 km were covered in 1 litre of petrol.

Question number – (10)

Solution :

Given in the question,

Kalpana purchased 12.5 kg of sugar for = ₹ 291.25,

The cost of 1 kg = ?

The cost of 3.5 kg sugar = ?

Sugar cost per kg,

= 291.25/12.5

= 23.3 Rs.

Cost for 3.5 kg,

= 23.3 × 3.5

= 81.55 Rs.

Decimals and Percentage Exercise 8.9 Solution

Question no – (1)

Solution :

We know that,

1 cm = 10 mm

(a) 49 mm

= 49/10

= 4.9 cm

(b) 148 mm

= 148/10

= 14.8 cm

(c) 6 cm 4 mm

= 6 cm 4 m

= 6 + 4/10 = 6.4 cm

(d) 92 cm 2 mm

= 92 cm 2 mm

= 92 + 2/10

= 92.2 cm

Question no – (2)

Solution :

As we know that,

1 metre = 100 centimeter

Now,

(a) 845 cm

= 845/100

= 8.45 m

(b) 1248 cm

= 1248/100

= 12.4 m

(c) 983 m 12 cm

= 983 + 12/100

= 983.12 m

(d) 1755 m 36 cm

= 1755 + 36/100

= 1755.36 m

Question no – (3)

Solution :

As we know that,

1 kg = 1000 gram

(a) 8145 g

= 8145/1000

= 8.145 kg

(b) 15005 g

= 15005/1000

= 15.005 kg

(c) 7 kg 125 g

= 7 kg + 125/1000

= 7.125 kg

(d) 25 kg 15 g

= 25 kg + 10/1000

= 25.010 kg

Question no – (4)

Solution :

As we know that,

1 rupee = 100 paise

So, now,

(a) 7575 paise

= 7575/100

= 75.75 Rupees

(b) 9003 paise

= 9003/100

= 90.03 Rupees

(c) 5 rupees 25 paise

= 5 + 25/100

= 5.25 Rupees

(d) 20 rupees 8 paise

= 20 + 8/100

= 20.08 Rupees

Question no – (5)

Solution :

As we know that,

1 litre = 100 mL

(a) 4500 ml

= 4500/1000

= 4.5 litre

(b) 10030 ml

= 10030/1000

= 10.030 litre

(c) 12 l 275 ml

= 12 + 275/100

= 12.275 litre

(d) 15 l 50 ml

= 15 + 50/1000

= 15.050 litre

Question no – (6)

Solution :

(a) ₹ 17.25

= 1725 paisa

(b) 9.050 l

= 9050 ml

(c) 15.375 km

= 15375 m

(d) ₹ 56.35

= 5635 paisa

(e) 21.300 l

= 21300 ml

(f) 12.950 km

= 12950 m

(g) 17.5 cm

= 175 mm

(h) 25.6 cm

= 256 mm

(i) 14.5 m

= 1450 mm

(j) 35.08 m

= 3508 cm

(k) 8.15 kg

= 8150 g

(l) 11.04 kg

= 11,040 g

Decimals and Percentage Exercise 8.10 Solution

Question no – (1)

Solution :

(a) 3/5

= 3/5 × 100%

= 60%

(b) 5/8

= 5/8 × 100%

= 62.5%

(c) 13/25

= 13/25 × 100%

= 52%

(d) 1 3/20

= 1 3/20

= 23/20 × 100%

= 115%

Question no – (2)

Solution :

(a) 0.7

= 0.7 × 100%

= 70%

So, 0.7 in percentage is 70%

(b) 4.6

= 4.6 × 100%

= 460%

So, 4.6 in percentage is 460%

(c) 0.158

= 0.158 × 100%

= 15.8%

So, 0.158 in percentage is 15.8%

(d) 64.02

= 64.02 × 100%

= 6402%

So, 64.02 in percentage is 6402%

Question no – (3)

Solution :

(a) 9%

= 9/100

So, 9% into fraction in the lowest form is 9/100

(b) 33%

= 33/100

So, 33% into fraction in the lowest form is 33/100

(c) 5.6%

= 5.6%

= 5.6/100 × 10

= 7/125

So, 5.6% into fraction in the lowest form is 7/125

(d) 82%

= 82/100

= 41/50

So, 82% into fraction in the lowest form is 41/50

(e) 132%

= 132/100

= 33/25

So, 132% into fraction in the lowest form is 33/25

Question no – (4)

Solution :

(a) 35%

= 35/100

= 0.35

So, 35% into decimal is 0.35

(b) 85%

= 85/100

= 0.85

So, 85% into decimal is 0.85

(c) 125%

= 125/100

= 1.25

So, 125% into decimal is 1.25

(d) 4.5%

= 4.5/100

= 0.045

So, 4.5% into decimal is 0.045

Question no – (5)

Solution :

(a) Given, 35% of 100

35/100 × 100

= 35

So, 35% of 100 is 35

(b) Given, 50% of 800

50/100 × 800

= 400

So, 50% of 800 is 400

(c) Given, 90% of 450

90/100 × 450

= 405

Thus, 90 percent of 450 is 405

(d) Given, 20% of 625

20/100 × 625

= 125

So, 20 percent of 625 is 125

Question no – (6)

Solution :

(a) 25% of 1 kg

= 25/100 × 1000

= 250 g

So, 25 percent of 1 kg is 250 g.

(b) 55 % of 70 m

= 55/100 × 700 m

= 385/10

= 38.5 m

So, 55 percent of 70 m is 38.5 m

(c) 40% of 500 l

= 40/100 × 500

= 200 l

So, 40 percent of 500 l is 200 litre

(d) 60% of ₹ 1200

= 60/100 × 1200

= 720

So, 60 percent of ₹1200 is Rs. 720

Question no – (7)

Solution :

(a) Given, 50 g of 5 kg

= 50/5000

= 100/100

= 1%

So, 50 g of 5 kg is 1 percent.

(b) Given, 250 ml of 1 l

250/1000

= 1/4 × 100%

= 25%

So, 250 ml of 1 litre is 25%

(c) Given, 10p of ₹ 2

10/200

= 1/20 × 100%

= 5%

So, 10 paise of Rs 2 is 5%

(d) Given, 300 m of 6 km

We know that,

1 km = 1000 meter

300/6000

= 1/20 × 100%

= 5%

So, 300 m of 6 km is 5%

(e) Given, ₹ 125 of ₹ 400

125/400

= 0.3125 × 100%

= 31.25%

So, ₹ 125 of ₹ 400 is 31.25%

(f) Given, 2.4 kg of 3 kg

= 2.4/3 × 10

= 8/10 × 100%

= 80%

So, 2.4 kg of 3 kg is 80%

(g) Given, 36 marks out of 50

36/50

= 36/50 × 100%

= 72%

So, 36 marks out of 50 is 72%

(h) Given, 420 marks out of 600

420/600

= 420/600 × 100%

= 70%

So, 420 marks out of 600 is 70%

(j) Given, 12 minutes of 2 hours

We know that,

1 hour = 60 minute

Now,

= 12/120 × 100%

= 70%
So, 12 minutes of 2 hours is 70%

(k) Given, 24 h of 2 1/2 days

= 24/60 × 100%

= 2 1/2

= 3/2 days

= 60 hours

= 40%

So, 24 h of 2 1/2 days is 40%

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Updated: June 7, 2023 — 5:07 am