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.
To find the time Lara spends doing stretching exercises, we multiply the total time (1 3/4 hours) by the fraction representing the time spent on stretching exercises (2/5).
1 3/4 * 2/5 = (7/4) * (2/5) = 14/20
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2.
(14/2) / (20/2) = 7/10
Therefore, Lara spends 7/10 of an hour doing stretching exercises. Simplified, this is 0.7 hours.
To find the answer, we need to multiply the total time Lara spends working out, which is 1 3/4 hours, by the fraction of the time she spends doing stretching exercises, which is 2/5.
Step 1: Convert 1 3/4 to an improper fraction.
To convert 1 3/4 to an improper fraction, multiply the whole number (1) by the denominator of the fraction (4) and add the numerator (3). Then, write the sum over the denominator.
1 * 4 = 4
4 + 3 = 7
So, 1 3/4 is equal to 7/4.
Step 2: Multiply the total time (7/4 hours) by the fraction of time spent on stretching exercises (2/5).
To multiply fractions, multiply the numerators together and multiply the denominators together.
(7/4) * (2/5) = (7 * 2) / (4 * 5) = 14/20
Step 3: Simplify the fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
The GCD of 14 and 20 is 2.
14 / 2 = 7
20 / 2 = 10
So, 14/20 simplifies to 7/10.
Therefore, Lara spends 7/10 of an hour, or 7/10 hour, doing stretching exercises.
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 proportion of time spent on stretching exercises (2/5).
First, let's convert 1 3/4 hours into an improper fraction:
1 3/4 = (4 * 1) + 3/4 = 4/4 + 3/4 = 7/4
Now, multiply the time spent working out by the fraction representing the proportion of time spent on stretching exercises:
(7/4) * (2/5) = (7 * 2) / (4 * 5) = 14/20
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
(14/2) / (20/2) = 7/10
Therefore, Lara spends 7/10 of an hour doing stretching exercises, which can also be written as 0.7 hours or 42 minutes.