Fraction word problem

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Luke55

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Last year, Jeremy had two jobs. As a waiter, he earned £90 per weekend for 26 weekends. As a climbing instructor, he earned £720 a week for 13 weeks. What fraction of his total income was from being a waiter. Give your answer in its simplest form.

Hi, so i know how to simplify a fraction, i just factor it down to its prime factors. But i'm struggling with the question. I don't know how to find the fraction in the question that i need to simplify. The answer book says its 1/5 but it doesn't explain how to get there. Hope you can help. Thank you in advance.
 
You have 2 red and 3 green apples. What fraction of all apples are red ones?
 
how much did he earn in total as a waiter?
how much did he own in total as an instructor.

add these to get the total amount he earned.

divide the amount he earned as a waiter by this total.
 
[MATH]90 * 26 = 2 * 13 * 90.[/MATH]
[MATH]720 * 13 = 8 * 13 * 90.[/MATH]
[MATH]\dfrac{2 * 13 * 90}{2 * 13 * 90 + 8 * 13 * 90} = \dfrac{2}{10} = \dfrac{1}{5}.[/MATH]
One fifth is not two fifths.
 
JeffM said:
[MATH]90 * 26 = 2 * 13 * 90.[/MATH]
[MATH]720 * 13 = 8 * 13 * 90.[/MATH]
[MATH]\dfrac{2 * 13 * 90}{2 * 13 * 90 + 8 * 13 * 90} = \dfrac{2}{10} = \dfrac{1}{5}.[/MATH]
One fifth is not two fifths.
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Jeff, the OP said 2/5 as the answer to lev888's question.
 
Romsek and Jomo

That is possible, probable even, but it certainly is odd that then the OP did not actually give the answer to the original problem as well.
 
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