How to Divide Fractions [Step by Step]

To divide fractions,you need to multiply the first fraction by the reciprocal of the second fraction.Look at the following examples:


● 3/5 ÷ 1/2

3/5 divided by 1/2

=3/5 ÷ 1/2 (Translating)

= 3/5 × 2/1(Change of division sign and multiplied by the reciprocal fraction of 1/2)

=(3×2)/(5×1) [Multiply top to top and bottom to bottom)

=6/5 

6/5 is a improper fraction,you can now express it as a mixed number.To learn it watch the video.


Here is the another example of dividing a fraction by a whole number.

1/2 ÷ 1

1/2 divided by 1

=1/2 ÷ 1 (Translating)

= 1/2 ÷ 1/1 (Whole number to fraction)

=1/2 × 1/1(Change of division sign and multiplied by the reciprocal fraction)

=(1×1)/(2×1) [Multiply top to top and bottom to bottom)

=1/2 


1/2 ÷ 2

1/2 divided by 2

=1/2 ÷ 2 (Translating)

= 1/2 ÷ 2/1 (Whole number to fraction)

=1/2 × 1/2(Change of division sign and multiplied by the reciprocal fraction)

=(1×1)/(2×2) [Multiply top to top and bottom to bottom)

=1/4

How to divide fractions





Summary:

The first step  to divide one fraction by another fraction is to find out  the reciprocal (flip the numerator and denominator) of the second fraction. Secondly,Now you need to multiply the two numerators(Top toTop).Thirdly,you need to multiply the two denominators(Bottom to Bottom). At last,you need to simplify or reduce the fraction if needed. Remember the sequence:Keep, chance and flip.


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