How do I multiply mixed numbers?

Let's use the example of (2+3/4) x (1+5/7) The first step when given a question about mixed numbers is to turn them into top-heavy or improper fractions, so that the maths is easier. In the case of 2 + 3/4, we need to make sure that everything is over the same denominator, 4. This means you turn the 2 into a fraction, and you get 2 + 3/4 = 8/4 + 3/4 = 11/4. You do the same with 1 + 5/7 to get 12/7. To multiply two fractions, you have to times the top by the top (the numerators) and the bottom by the bottom (the denominators), so you end up with something that looks like (11x12) / (4x7), which is 132/28. If you like, you can simplify this fraction by taking out the highest common factor of 132 and 28 to give you 33/7

Answered by Natasha T. Maths tutor

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