Question

What is `7 9/10` as an improper fraction?

Answer 1

`7 9/10 = (10xx7+9)/10 = 79/10`

Explanation:

Remember that a whole number is:

`8/8, 3/3, 11/11, 40/40, etc`

In this case we are working with the fraction 'tenths'.
Each whole number is `10/10`

In 7 whole numbers there will be `7 xx10 = 70` tenths

`70/10 = 7`

There are also 9 extra 'tenths'.

In total there are `10xx7 +9 = 79` tenths.

`7 9/10 = (10xx7+9)/10 = 79/10`

Answer 2

With practice you would start to use shortcuts and speed up solving this type of question.

`79/10`

Explanation:

Write as `7+9/10`

Multiply by 1 and you do not change the value. But 1 comes in many forms so you can change the way a number looks without changing its value.

`" "color(green)([7color(magenta)(xx1)]+9/10" "->" "[7color(magenta)(xx10/10)]+9/10`

`" "70/10+9/10" "=" "(70+9)/10" " =" " 79/10`