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# Fractions

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Jack did 3/5 of the problems on his weekend homework before Sunday. On Sunday, he solved 1/3 of what was left and the last 4 problems. How many problems were assigned for the weekend?

May 21, 2021

#1
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After doing $$\frac{3}{5}$$ of his homework he has $$\frac{2}{5}$$ left.

Multiplying the $$\frac{2}{5}$$ or his homework must be 6 questions. This is because $$1 - \frac{1}{3} = \frac{2}{3} = 4$$, as your problem states "the last 4 questions". Thus, 1/3 is equal to 2 questions, and  $$\frac{2}{5}$$ or his homework must be 6 questions. Multiply $$6 \cdot \frac{5}{2} = 15$$

Therefore, he was assigned 15 questions in total for the weekend.

May 21, 2021