How to divide fractions
more than one method of dividing fractions. The easiest and most commonly
taught way is to “invert and multiply.”
Dividing fractions – invert and multiply
To divide fractions take the reciprocal (invert the fraction) of the
divisor and multiply the dividend.
This is the quickest technique for dividing fractions. The top and
bottom are being multiplied by the same number and, since that number
is the reciprocal of the bottom part, the bottom becomes one. Dividing
anything by one leaves the value “anything” the same.
Dividing fractions – common denominator
There is a lengthier way of dividing fractions and it could be said
to be a "more correct" method. It involves the use of equivalent
fractions to make the denominators of both fractions the same. This
is the correct way since, strictly speaking you can’t divide
apples by oranges in the same way as you can’t divide fifths
You can explain this correct method to you child if he or she is curious.
Otherwise it might be best to use just the invert and multiply method
for dividing fractions.
The worksheets above will allow plenty of practice with dividing fractions.
Check out the fraction worksheet generator. It provides limitless questions on dividing fractions. Note: It also does questions on adding, subtracting, and multiplying them too.