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 2/3 ÷ 1/3

                                         = 2/3 / 1/3

                                         = 2/3 × 3/1/3 × 3

                                         = 2/3 × 3/1

                                         = 2/3 × 3

                                         = 6/3

                                         = 2

Therefore, 2/3 ÷ 1/3 = 2/3 × 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. 1/3 ÷ 2/5

[First Fraction × Reciprocal of the Second Fraction]

= 1/3 × 5/2

= (1 × 5)/(3 × 2)

= 5/6



2. 6/19 ÷ 12/38

= 6/19 × 38/12





= 1



3. 2 1/7 ÷ 7/2

= (2 × 7 + 1)/7 ÷ 7/2

= 15/7 ÷ 7/2

= 15/7 × 2/7

= (15 × 2)/(7 × 7)

= 30/49



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.





5th Grade Numbers Page

5th Grade Math Problems

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