Question

How do you evaluate `\frac { 10} { 12} - \frac { 4} { 7}`?

Answer 1

`11/42`

Explanation:

Usually you would first find the common denominator, (in this case the LCM =84) for this problem I would start by simplifying `10/12=5/6` Now the LCM is is 42 and will save simplifying later.

Next multiply each fraction by a fraction (that =1) to make the denominator=42

`5/6*7/7=35/42`

`4/7*6/6=24/42`

Subtracting these the answer is `11/42`

Answer 2

`11/42`

Explanation:

Method: Change both fractions to the common denominator.

This can be done by multiplying 12 by 7

`(10/12)* (7/7) - (4/7)*(12/12)` Multiplying by `7/7, 12/12` does not change the fractions as it is the same as multiplying by `1`

`=(70/84)-(48/84)`

`=22/84`

`=11/42`