Properties of Fractional Division
Properties of fractional division are discussed here:
Property 1: When a fractional number is divided by 1, the quotient is the fractional number itself.
For Example:
1. 2/3 ÷ 1
= 2/3 × 1/1
= (2 × 1)/(3 × 1)
= 2/3
2. 11/16 ÷ 1
= 11/16 × 1/1
= (11 × 1)/(16 × 1)
= 11/16
3. 21/43 ÷ 1
= 21/43 × 1/1
= (21 × 1)/(43 × 1)
= 21/43
Property 2:When zero is divided by non zero fractional number, then the quotient is always zero.
For Example:
1. 0 ÷ 7/9
= 0 × 9/7
= 0
2. 0 ÷ 18/33
= 0 × 33/18
= 0
3. 0 ÷ 29/16
= 0 × 16/29
= 0
Property 3: When any non zero fractional number is divided by itself, then the quotient is 1.
For Example:
1. 19/21 ÷ 19/21
= 19/21 × 21/19
= 1
2. 144/11 ÷ 144/11
= 144/11 × 11/144
= 1
Property 4: The reciprocal of zero or multiplicative inverse does not exist. So a fractional number cannot be divided by zero (0).
● 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.
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