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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%
Previous Chapter Solution :
👉 Chapter 7 👈
