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.
● 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.
● Worksheet on Word Problems on Fractions.
5th Grade Numbers Page
5th Grade Math Problems
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