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16 Harper's wage is £1200 each month. They spend (1)/(4) of their wage on rent. They spend £460 of their wage on other items. What fraction of their wage does Harper have left? Give your answer in its simplest form.

Question

16 Harper's wage is
£1200 each month.
They spend (1)/(4) of their wage on rent.
They spend £460 of their wage on other items.
What fraction of their wage does Harper have left?
Give your answer in its simplest form.

16 Harper's wage is £1200 each month. They spend (1)/(4) of their wage on rent. They spend £460 of their wage on other items. What fraction of their wage does Harper have left? Give your answer in its simplest form.

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Answer

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OscarMaster · Tutor for 5 years

Answer

<p> 5/12</p>

Explain

<p> Harper's total wage is £1200 per month. First we need to calculate the amount of money Harper spends on the rent by taking one fourth of £1200. This sum along with the £460 spent on other items represents Harper’s total spending. Subtracting total spending from the total wage, Harper’s remaining wealth can be found. Finally, by reciprocating this value and the total wage of £1200, the simplest form of the leftover wage as a fraction of the total payment can be determined.</p>
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