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

Nov 6, 2016

$7 \frac{9}{10} = \frac{10 \times 7 + 9}{10} = \frac{79}{10}$

#### Explanation:

Remember that a whole number is:

$\frac{8}{8} , \frac{3}{3} , \frac{11}{11} , \frac{40}{40} , e t c$

In this case we are working with the fraction 'tenths'.
Each whole number is $\frac{10}{10}$

In 7 whole numbers there will be $7 \times 10 = 70$ tenths

$\frac{70}{10} = 7$

There are also 9 extra 'tenths'.

In total there are $10 \times 7 + 9 = 79$ tenths.

$7 \frac{9}{10} = \frac{10 \times 7 + 9}{10} = \frac{79}{10}$

Nov 10, 2016

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

$\frac{79}{10}$

#### Explanation:

Write as $7 + \frac{9}{10}$

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.

$\text{ "color(green)([7color(magenta)(xx1)]+9/10" "->" } \left[7 \textcolor{m a \ge n t a}{\times \frac{10}{10}}\right] + \frac{9}{10}$

$\text{ "70/10+9/10" "=" "(70+9)/10" " =" } \frac{79}{10}$