Percentage Class 6 RS Aggarwal Exe-10A Goyal Brothers ICSE Maths Solutions Ch-10. In this article you will learn about Converting a Percentage into Fraction ,Decimal, Ratio . Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.
Percentage Class 6 RS Aggarwal Exe-10A Goyal Brothers ICSE Maths Solutions Ch-10
| Board | ICSE |
| Subject | Maths |
| Class | 6th |
| Ch-10 | Percentage |
| Exercise | 10A |
| Writer | RS Aggrawal |
| Book Name | Foundation |
| Topics | Converting a Percentage into Fraction ,Decimal, Ratio |
| Academic Session | 2024 – 2025 |
What is Percentage
A fractions Expressing with the denominator 100 is called percentage.
Percentage Formula
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100
Percentage formula = (Value/Total value) × 100
Converting a Percentage into Fraction
To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100. And, then we express the fractional form of the percentage in the simplest form.
Converting a Percentage into Decimal
To convert a percentage to a decimal, divide by 100
Converting a Percentage into ratio
- Simply divide the percentage value by 100 and remove the % sign.
- Change the Decimal Value to Fraction .
- If the Decimal Number in the fraction’s numerator isn’t a whole number simply multiply with 10 till the numerator and denominator is a whole number.
- Reduce the fraction to the simplest form if required
- Rewrite the fraction obtained as Ratio simply by replacing the fraction bar with a colon symbol in between
Exercise- 10A
(Percentage Class 6 RS Aggarwal Exe-10A Goyal Brothers ICSE Maths Solutions Ch-10)
Que-1: Express each of the following as a fraction in its lowest terms :
(i) 8% (ii) 36% (iii) 125% (iv) 12*(1/2)% (v) 26*(2/3)% (vi) 9.6% (vii) 0.36% (viii) 4/5 %
Sol: (i) 8%
8/100 = 2/25
(ii) 36%
36/100 = 9/25
(iii) 125%
125/100 = 5/4
(iv) 12*(1/2)%
25/200 = 1/8
(v) 26*(2/3)%
= 80/300 = 4/15
(vi) 9.6%
96/1000 = 12/125
(vii) 0.36%
36/10000 = 9/2500
(viii) 4/5 %
4/500 = 1/125
Que-2: Express each of the following as a decimal :
(i) 43% (ii) 7% (iii) 120% (iv) 3.5%
Sol: (i) 43%
43/100 = 0.43
(ii) 7%
7/100 = 0.07
(iii) 120%
120/100 = 1.2
(iv) 3.5%
35/1000 = 0.035
Que-3: Express each of the following as a ratio :
(i) 56% (ii) 16*(2/3)% (iii) 6.4% (iv) 0.8%
Sol: (i) 56%
56/100 = 14/25 = 14:25
(ii)16*(2/3)%
50/300 = 1/6 = 1:6
(iii) 6.4%
64/1000 = 8/125 = 8:125
(iv) 0.8%
8/1000 = 1/125 = 1:125
Que-4: Express 15% as a (i) fraction (ii) decimal (iii) ratio
Sol: (i) 15%
15/100 = 3/20
(ii) 15%
15/100 = 3/20 = 0.15
(iii) 15%
15/100 = 3/20 = 3:20
Que-5: Express 136% as a (i) fraction (ii) decimal (iii) ratio
Sol: (i) 136%
136/100 = 39/25
(ii) 136%
136/100 = 39/25 = 1.56
(iii) 136%
136/100 = 39/25 = 39:25
Que-6: Convert each of the following fractions into a percentage :
(i) 13/20 (ii) 7/16 (iii) 5/12 (iv) 2*(3/4) (v) 1*(7/8) (vi) 3/200 (vii) 24/5 (viii) 3
Sol: (i) 13/20
13/20 × 100 = 65%
(ii) 7/16
7/16 × 100 = 175/4 = 43*(3/4)%
(iii) 5/12
5/12 × 100 = 125/3 = 41*(2/3)%
(iv) 2*(3/4) = 11/4
11/4 × 100 = 275%
(v) 1*(7/8) = 15/8
15/8 × 100 = 375/2 = 187*(1/2)%
(vi) 3/200
3/200 × 100 = 3/2 = 1*(1/2)%
(vii) 24/5
24/5 × 100 = 480%
(viii) 3
3 × 100 = 300%
Que-7: Convert each of the following decimals into a percentage :
(i) 0.7 (ii) 0.54 (iii) 0.06 (iv) 0.073 (v) 2.05 (vi) 4.3 (vii) 1.065 (viii) 0.005
Sol: (i) 0.7
7/10 × 100 = 70%
(ii) 0.54
54/100 × 100 = 54%
(iii) 0.06
6/100 × 100 = 6%
(iv) 0.073
73/1000 × 100 = 73/10 = 7.3%
(v) 2.05
205/100 × 100 = 205%
(vi) 4.3
43/10 × 100 = 430%
(vii) 1.065
1065/1000 × 100 = 1065/10 = 106*(1/2)%
(viii) 0.005
5/1000 × 100 = 1/2 %
— : Percentage Class 6 RS Aggarwal Exe-10A Goyal Brothers ICSE Maths Solution :–
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