During each hour of exercise, Matthew drinks
1 2/3 cups of water. Matthew exercised for 14 hours this month. How many cups of water did he drink while he was exercising this month?
I think the answer is 32+2/3, or 11 1/3 cups of water.Is that right?
whew, I got it :)
Thank you
thanks
To find the total amount of water Matthew drank while exercising for 14 hours, we need to multiply the amount of water he drinks per hour by the number of hours he exercised.
Matthew drinks 1 2/3 cups of water per hour. To express this fraction as an improper fraction, we multiply the whole number (1) by the denominator (3) and add the numerator (2): 1 * 3 + 2 = 5. So, 1 2/3 cups is the same as 5/3 cups.
Now, we multiply the amount of water Matthew drinks per hour (5/3 cups/hour) by the number of hours he exercised (14 hours). We have:
(5/3 cups/hour) * (14 hours) = (5 * 14)/(3 * 1) = 70/3.
To express the resulting fraction as a mixed number, we divide the numerator (70) by the denominator (3) and express the remaining fraction as a proper fraction.
70 ÷ 3 = 23 with a remainder of 1.
So, 70/3 cups is equivalent to 23 1/3 cups of water.
Therefore, the correct answer is 23 1/3 cups of water, not 32+2/3 cups.
(5/3) * 14 = 70/3 = 23 1/3 cups
1 2/3 = 3/3 + 2/3 = 5/3 cups/hr
(5/3 cups/hr) 14 hr = 70/3 cups = 23 1/3 cups