Answer: 4 1/4
Explanation:
To find out how many minutes Juan runs in place on Tuesday, we need to determine how long he runs on Monday and multiply that by 1 1/2.On Monday, Juan runs in place for 2 5/6 minutes.To find out how long he runs on Tuesday, we need to multiply 2 5/6 by 1 1/2:2 5/6 * 1 1/2 = 17/6 * 3/2To multiply fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together:17/6 * 3/2 = (17 * 3) / (6 * 2) = 51/12To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:51/12 = (51 ÷ 3) / (12 ÷ 3) = 17/4So, Juan runs in place for 17/4 minutes on Tuesday.To convert the fraction to a mixed number, we can divide the numerator (17) by the denominator (4):17 ÷ 4 = 4 remainder 1Therefore, Juan runs in place for 4 and 1/4 minutes on Tuesday