Question

Heather spends 1/8 of her salary on food and 9/24 on rent. What fraction of her salary remains after she has paid for her food and rent? *

Answer 1

Explanation

Step 1

find the total Heather spends

$\begin{gathered} \text{tottotal spent=food}+\text{rent} \\ \text{replace} \\ total\text{ spent=}\frac{1}{8}+\frac{9}{24} \end{gathered}$

add the fractions

$\frac{1}{8}+\frac{9}{24}=\frac{1}{8}+\frac{3(3)}{3\cdot8}=\frac{1}{8}+\frac{3}{8}=\frac{4}{8}=\frac{1}{2}$

it means Heather spent 1/2 of her salary on food and rent

Step 2

now, find the fraction of her salary remains after she has paid:

as she spent a half of her salary, now she will have half

so

$\begin{gathered} \text{salary remaining=salary-}\frac{1}{2}\text{salary} \\ \text{salary remaining=}\frac{1}{2}\text{salary} \end{gathered}$

threfore the answer is

$\frac{1}{2}of\text{ her salary}$

I hope this helps you