jack spends 1 2/3 as longer on his homework as Jill
last week, Jill spent 5 1/2 hours doing homework
How long did jack spend doing homework?
The week before jack spent 24 ½ hours doing homework
How long did jill spend doing homework
5/3 * 11/2 = ?
24.5 = 5/3x
Multiply both sides by 3 and divide both sides by 5 to find x (Jill's time).
To find out how long Jack spent doing homework, we need to determine the amount of time Jill spent doing homework and then calculate 1 2/3 times that value.
For the first question, we are given that Jill spent 5 1/2 hours doing homework. To calculate 1 2/3 times that value, we need to convert the mixed number 1 2/3 to an improper fraction.
To convert 1 2/3 to an improper fraction, we multiply the whole number (1) by the denominator of the fraction (3) and add the numerator (2). This gives us (1 * 3) + 2 = 3 + 2 = 5. Thus, 1 2/3 is equivalent to the improper fraction 5/3.
Now, we can multiply the time Jill spent doing homework (5 1/2 hours) by 5/3 to find the time Jack spent doing homework.
5 1/2 * 5/3 = (5/1) * (1/2) * (5/3) = (25/2) * (1/2) * (5/3) = (25/6) * (5/3) = 125/18.
Therefore, Jack spent approximately 125/18 hours doing homework.
Now let's move to the second question.
To determine how long Jill spent doing homework, we need to calculate 1/2 times the value of 24 1/2 hours that Jack spent doing homework the week before.
To convert 24 1/2 to an improper fraction, we multiply the whole number (24) by the denominator (2) and add the numerator (1). This gives us (24 * 2) + 1 = 48 + 1 = 49. Thus, 24 1/2 is equivalent to the improper fraction 49/2.
Now we can multiply the time Jack spent doing homework (24 1/2 hours) by 1/2 to find the time Jill spent doing homework.
24 1/2 * 1/2 = (49/2) * (1/2) = 49/4.
Therefore, Jill spent approximately 49/4 hours doing homework.
^ very helpful -.-
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Dancer xoxoxox