Dividing Fractions - Definition with Examples
A fraction is part of a whole number. It has two parts – a numerator and a denominator.
Dividing a fraction
Dividing a fraction by another fraction is the same as multiplying the fraction by the reciprocal (inverse) of the other. We get the reciprocal of a fraction by interchanging its numerator and denominator.
For example, the reciprocal of 2 is5
Consider the following example:
1 ÷ 1
Find the reciprocal of the second fraction (divisor).
Reciprocal of 1 is 3 or 3
Multiply the first fraction (dividend) by the reciprocal of the second fraction (divisor).
1 x 3
Multiply the numerators and denominators of the fractions.
1 x 3 = 1x3 = 3
Dividing Fractions Song
Take the fractions for the division to apply
Flip the second one and then multiply
In the end, you need to simplify.
So next time you divide the fractions don’t forget to apply
The simple rule is to flip and multiply.
Dividing a Fraction by a Whole Number
Follow a simple rule that a number divided by 1 is the number itself.
Steps to divide a fraction by a whole number:
- Convert the whole number into a fraction by using a denominator 1.
- Flip this number.
- Multiply by the fraction.
- Simplify the result, if needed.
Take an example, Divide 3by 5
- Convert 5 into a fraction =5
- Flip 5by get 1
- Multiply the fractions: 3 x 1 = 3
The Complete K-5 Math Learning Program Built for Your Child