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Division of a Fractional Number

We will discuss here about division of a fractional number by a fractional number.

Now, let us consider the division 23 ÷ 13

                                            = 2313

                                            = 23 × 113

                                            = 23 × 31

                                            = 23 × 3

                                            = 63

                                            = 2

Therefore, 23 ÷ 13 = 23 × 3 = 2

Therefore, the rules for the division of a fraction by a fraction is

A Fraction ÷ Another Fraction = First Fraction × Reciprocal of the Second Fraction.

Hence, we conclude that to divide a fractional number by another fractional number, we multiply the first fractional number by the multiplicative inverse of the second fraction number.


1. 13 ÷ 25

[First Fraction × Reciprocal of the Second Fraction]

= 13 × 52

1×53×2

56



2. 619 ÷ 1238

= 619 × 3812








= 1



3. 217 ÷ 72

2×7+17 ÷ 72

= 157 ÷ 72

= 157 × 27

15×27×7

3049



4. 6 2/3 ÷ 4 1/5

= (6 × 3 + 2)/3 ÷ (4 × 5 + 1)/5

= 20/3 ÷ 21/5

= 20/3 × 5/21

= (20 × 5)/(3 × 21)

= 100/63

5. 12/11 ÷ 144/121

= 12/11 × 121/144




= 11/12



6. 5 1/8 ÷ 8 2/16

= (5 × 8 + 1)/8 ÷ (8 × 16 + 2)/16

= 41/8 ÷ 130/16

= 41/8 × 16/130





= 41/65

 Multiplication is Repeated Addition.

● Multiplication of Fractional Number by a Whole Number.

● Multiplication of a Fraction by Fraction.

● Properties of Multiplication of Fractional Numbers.

● Multiplicative Inverse.

● Worksheet on Multiplication on Fraction.

● Division of a Fraction by a Whole Number.

● Division of a Fractional Number.

● Division of a Whole Number by a Fraction.

● Properties of Fractional Division.

● Worksheet on Division of Fractions.

● Simplification of Fractions.

● Worksheet on Simplification of Fractions.

● Word Problems on Fraction.

● Worksheet on Word Problems on Fractions.





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