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1.3 J) Multiplying Fractions – Part 1
​When we are multiplying fractions, we multiply straight across; we multiply the numerators together to get the numerator of the answer and we multiply the denominators to get the denominator of the answer. When we have our answer, we must make sure that the answer is given in its simplest form and that it is given as a mixed number.
 
When we are multiplying mixed numbers, we should convert the mixed numbers into improper fractions, and then multiply across in the same way as above. There is an example of where this is the case in the next section. 

Example 1

Complete the calculation below.

Picture

To answer this question, we multiply straight across; we multiply the two numerators to get the numerator of the answer, and we multiply the two denominators to obtain the denominator of the answer.

Picture

The next step is to simplify the answer, which we do by dividing the numerator and the denominator by the highest common factor between the numerator and the denominator. The highest common factor between 6 and 20 is 2. Therefore, we divide the numerator and denominator by 2.

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The fraction above is not an improper fraction, which means that there is no need to convert it into a mixed number (an improper fraction is where the numerator is greater than the denominator).

 

Therefore, the answer is 3/10.


Example 2

Complete the calculation below.

Picture

To answer this question, we can just multiply across.

Picture

We now need to simplify. The highest common factor between 18 and 88 is 2, so we divide the numerator and the denominator by 2.

Picture

Therefore, the answer is 9/44.

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