Multiplying Fractions
Multiplying fractions is probably the easiest operations of the four mathematical operations (addition, subtraction, multiplication and division).

Unlike in addition and subtraction when fractions need to have equal denominators, in multiplying fractions that step is not needed.

This means that multiplying fractions with different denominators is just as easy as multiplying fractions with the same denominators.

Here are some examples:

1/4 x 1/4 = 1/8




3/5 x 1/2 = 4/10 or 2/5





Now, when dealing with fractions that are not in their simplest form, you may want to simplify them before multiplying to avoid having to deal with large numbers.

Here's an example of multiplying WITHOUT simplifying the multiplicands first:

24/48 x 8/12 = 192/576 or 4/12 or 1/3





Here's the same example with the multiplicands simplified first:

24/48 x 8/12 = 1/2 x 2/3


1/2 x 2/3 = 2/6 or 1/3





The first example without simplifying may look shorter, but the second example is easier and much faster to compute because of the small numbers.


Resource

Browse Common Decimals
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