Succeed with maths – Part 1

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# 3.1 Dividing fractions

So now you know that to divide by a fraction, you convert the second fraction (the one you are dividing by) into its reciprocal, then multiply by that fraction instead.

Just once more, consider .

If you swap the numerator and the denominator of , you will have : this is the reciprocal of .

Thus,

So, dividing a number by is the same as multiplying the number by .

This process of finding the reciprocal of the fraction that appears after the division sign, and then multiplying by that value, can be used in any division problem.

Now you are going to look at dividing mixed numbers and fractions.