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)
NO 42 IS WRONG!!!!!
To find the amount of 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 doing stretching exercises (2/5).
First, we need to convert 1 3/4 hours to an improper fraction. To do this, we can multiply the whole number (1) by the denominator of the fraction (4), and then add the numerator (3). This gives us a total of 7/4.
Now we can multiply the total time (7/4) by the proportion of time spent stretching (2/5).
(7/4) * (2/5) = (7 * 2) / (4 * 5) = 14/20
To simplify this answer, we can divide the numerator and denominator by their greatest common divisor, which is 2.
14/20 = 7/10
Therefore, Lara spends 7/10 of an hour doing stretching exercises.
To find out how much time Lara spends doing stretching exercises, we can multiply the total time she spends working out (1 3/4 hours) by the fraction representing the portion of time spent doing stretching exercises (2/5).
First, let's convert 1 3/4 hours to an improper fraction:
1 3/4 = (4 * 1 + 3)/4 = 7/4
Next, let's multiply 7/4 by 2/5:
(7/4) * (2/5) = (7 * 2)/(4 * 5) = 14/20
To simplify 14/20, we can divide both 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 or 42 minutes doing stretching exercises.
To find out how much time Lara spends doing stretching exercises, we can calculate it by multiplying the total workout time (1 3/4 hours) by the fraction representing the proportion of time spent on stretching exercises (2/5).
First, let's convert the mixed number to an improper fraction.
1 3/4 = (4 * 1 + 3) / 4 = 7/4
Now, multiply the total workout time by the fraction representing the proportion of time spent on stretching exercises:
(7/4) * (2/5) = (7 * 2) / (4 * 5) = 14/20
We can simplify the fraction by dividing 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 doing stretching exercises, or in other words, 42 minutes.
The correct answer is 42 minutes.