Question

How do you simplify `\frac { 7x } { 7} - \frac { x } { 10}`?

Answer 1

`(9x)/10`

Explanation:

To simplify (only for addition or subtraction) any fraction, the denominators have to be the same.

In the question, we can see that both fractions have different denominators i.e. one fraction has 7 as denominator and the other has 10 as denominator.

Therefore, to make both denominators equal, take the LCD of the denominators `7 & 10`.

It is `7xx10` = `70`

Now to solve the question,
`(7x)/7 - x/10` = `(((7x)xx10)- (x)xx7)/70`
Which is, `(70x-7x)/70` = `cancel(63x)^9/cancel(70)^10`

Or `(9x)/10`