Debra babysits for #3 1/2# hours on Friday and #1 1/2# times as long on Saturday. Did Debra babysit more, fewer, or the same number of hours on Saturday than she did on Friday?

2 Answers
Apr 2, 2018

More than she did on Friday

Explanation:

She did 3.5 hours on Friday, and we're told that she did that and an added half of that. If we took 3.5 and half of that together, we would get more than 3.5, so she did more.

Apr 2, 2018

More hours on Saturday.

Explanation:

If a number is multiplied by #1# it stays the same,

#12 xx 4/4 = 12" "larr (4/4 =1)#

If a number is multiplied by a value less than #1#, a proper fraction, then it gets smaller:

#12 xx 3/4 = 9#

If a number is multiplied by a value more than #1# ( an improper fraction), then it gets bigger.

#12 xx 5/4 = 15#

#1 1/2# is more than #1#, it can be written as #3/2#
Debra babysat longer on Saturday than Friday.

Multiplying by #1 1/2# means then same length of time #(1)# again and another #1/2# of the time as well. This is obviously longer.