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Question

Question
Lara spends 1(3/4)
hours working out. She spends 2/5
of the time doing stretching exercises. How much time does she spend doing stretching exercises? Write the answer in simplest form.(1 point)
hr.

Answer 1

To find out how much time Lara spends doing stretching exercises, we first need to convert the mixed number \( 1 \frac{3}{4} \) hours into an improper fraction.

First, convert \( 1 \frac{3}{4} \) into an improper fraction: \[ 1 \frac{3}{4} = \frac{4 \times 1 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4} \text{ hours} \]

Next, we know that Lara spends \( \frac{2}{5} \) of her workout time doing stretching exercises. To find this amount, multiply \( \frac{2}{5} \) by \( \frac{7}{4} \): \[ \text{Stretching time} = \frac{2}{5} \times \frac{7}{4} = \frac{2 \times 7}{5 \times 4} = \frac{14}{20} \]

Now, simplify \( \frac{14}{20} \): \[ \frac{14}{20} = \frac{7}{10} \text{ (by dividing the numerator and the denominator by 2)} \]

Thus, the amount of time Lara spends doing stretching exercises is: \[ \frac{7}{10} \text{ hours} \]

So, the final answer is: \[ \boxed{\frac{7}{10}} \text{ hr.} \]