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)
To find the time Lara spends doing stretching exercises, we can multiply the total time she spends working out by the fraction of time she spends doing stretching exercises: 1 3/4 × 2/5 = (7/4) × (2/5) = (14/20) = 7/10
Thus, Lara spends 7/10 of an hour, or 42 minutes, doing stretching exercises. Answer: \boxed{42}.
To find out how much time Lara spends doing stretching exercises, we need to multiply the total time she spends working out (1 3/4 hours) by the fraction representing the portion of time she spends on stretching exercises (2/5).
First, let's convert 1 3/4 hours to an improper fraction:
1 is equivalent to 4/4, so 1 3/4 is equal to (4/4 + 3/4) which is equal to 7/4.
Now, we can multiply 7/4 by 2/5:
(7/4) * (2/5) = 14/20.
To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
(14/2) / (20/2) = 7/10.
Therefore, Lara spends 7/10 of an hour, or 42 minutes, doing stretching exercises.
To find out how much time Lara spends doing stretching exercises, we need to find 2/5 of 1 3/4 hours.
First, let's convert 1 3/4 into an improper fraction.
1 3/4 = (4 * 1 + 3) / 4 = 7/4
Next, we can multiply 7/4 by 2/5 to find the time spent doing stretching exercises:
7/4 * 2/5 = (7 * 2) / (4 * 5) = 14/20
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
14/20 = (14 ÷ 2) / (20 ÷ 2) = 7/10
Therefore, Lara spends 7/10 of an hour or 0.7 hours doing stretching exercises.