Joseph spent 3/4 hour working out at the gym. He spent 2/3 of that time lifting weights. What fraction of an hour did he spend lifting weights?

(2/3) * (3/4) = 6/12 = 1/2

1 2 3

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2 5 10

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To find the fraction of an hour Joseph spent lifting weights, we need to multiply the total time Joseph spent working out (3/4 hour) by the fraction of that time he spent lifting weights (2/3).

First, let's find the time Joseph spent lifting weights. We can multiply the total time spent (3/4 hour) by the fraction of that time spent lifting weights (2/3):

(3/4) * (2/3) = (3 * 2) / (4 * 3) = 6/12 = 1/2

Therefore, Joseph spent 1/2 hour (or half an hour) lifting weights.