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Simplify: 7/8 - 17/24

1 Answer

4 votes

Simplify:

7/8 - 17/24

To complete the operation, we need to have both denominators with the same value.

One denominator is 8 and the other one is 24

Note 24 is a multiple of 8 (24=8*3).

Thus, to make both denominators be equal, we just multiply the first fraction by 3. This is called amplification

The expression is now:

21/24 - 17/24

Please note the first fraction was amplified by 3: 7*3= 21 and 8*3=24

Now we have both denominators the same, we just subtract the numerators:

(21-17) / 24

Operating:

4 / 24

This fraction can be simplified by 4:

1/6

This is the final result

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