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 :–

**Return to :- ICSE Class -6 RS Aggarwal Goyal Brothers Math Solutions**

**Thanks**

Please share with yours friends if helpful