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

Step-by-step explanation

Step 1

find the total Heather spends

`\begin{gathered} \text{tottotal spent=food}+\text{rent} \\ \text{replace} \\ total\text{ spent=}(1)/(8)+(9)/(24) \end{gathered}`

add the fractions

`(1)/(8)+(9)/(24)=(1)/(8)+(3(3))/(3\cdot8)=(1)/(8)+(3)/(8)=(4)/(8)=(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-}(1)/(2)\text{salary} \\ \text{salary remaining=}(1)/(2)\text{salary} \end{gathered}`

threfore the answer is

`(1)/(2)of\text{ her salary}`

I hope this helps you