I need help with this question a family has an annual income of $25,200. Of this, ¼ is spent for food, 1/5 for housing, 1/10 for clothing, 1/9 for savings, ¼ for taxes, and the rest for other expenses. How much is spent for other expenses?

First add up all the fractions that are known. 1/4 + 1/5 + 1/10 + 1/9 +1/4. Add the 1/4 + 1/4 to get 1/2 then use a common denominator of 90.

1/2 + 1/5 +1/10 + 1/9 = 45/90 + 18/90 + 9/90 + 10/90 = 82/90

Which means that the rest must be 90/90 - 82/90 = 18/90 = 1/5

So then 25,200 * 1/5 = $5040 is spent on other expenses.

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