Problem

Ali has a $10 \mathrm{ft}$ piece of pipe that she needs to cut down. She cuts off $\frac{1}{5}$ and she cuts off $\frac{1}{3}$.

Evaluate the following expression to determine how much pipe she has cut off in total:
\[
\frac{1}{5}+\frac{1}{3}
\]

Answer

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Answer

Final Answer: \(\boxed{\frac{8}{15}}\)

Steps

Step 1 :Convert the fractions to have a common denominator: \(\frac{1}{5} = \frac{3}{15}\) and \(\frac{1}{3} = \frac{5}{15}\)

Step 2 :Add the two fractions together: \(\frac{3}{15} + \frac{5}{15} = \frac{8}{15}\)

Step 3 :So, Ali has cut off \(\frac{8}{15}\) of the pipe in total.

Step 4 :Final Answer: \(\boxed{\frac{8}{15}}\)

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