Sara and Matt each ordered of a medium pizza. Sara ate 3/8 of her pizza for lunch and 2/8 for for and snack. Matt ate 2/4 of his pizza for lunch and 1/4 , for a snack. Who ate more pizza?

2 Answers
Barney V.
Jan 22, 2017

Matt ate #1/8# more than Sara

Explanation:

Sara ate#3/8+2/8=5/8#

Matt ate#2/4+1/4=3/4#

#5/8 , 3/4#

#(5 , 6)/8#
Sara ate #5/8#

Matt ate #6/8#

Matt ate #1/8# more than Sara

Tony B · Meave60 · mason m
Jan 22, 2017

Matt ate the most.

Explanation:

Sara total consumption #->3/8+2/8=5/8#

Matt total consumption #->2/4+1/4 = 3/4#

But #3/4# is the same as #3/4xx1" " =" " 3/4xx2/2" "=" "6/8#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now we can do a direct comparison as the denominators are the same

Expressing the difference as a ratio we have:

#color(blue)("Matt :"color(green)(" Sara ")" "->" Matt : "color(green)("Sara")) #
#color(blue)(" "6/8color(white)(. ) :color(green)(" "5/8)" "color(white)(..)->" 6 : "color(green)(5))#

Matt ate the most.

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