A chef buys #4 1/2# pounds of broccoli. A casserole recipe calls for #3/4# pound of broccoli. How many casseroles can the chef prepare before she runs out of broccoli?

2 Answers
EZ as pi
Sep 28, 2017

#6# casseroles

Explanation:

You could do this by repeated subtraction until you get to #0#.

#4 1/2-3/4-3/4-3/4 .....#

However, division is the short cut for repeated subtraction.

#12-3-3-3-3 =0" "hArr " "12 div 3=4#

So, for the broccoli:

#4 1/2 div 3/4" "larr# how many times can broccoli be subtracted?

#=9/2 xx4/3#

#=cancel9^3/cancel2 xxcancel4^2/cancel3#

#=6#

Shivam
Sep 28, 2017

6 casseroles

Explanation:

4.5 pounds of broccoli divided by 0.75 pounds = 6. Convert 4 and a half pounds into an improper fraction and then convert to quarter fraction. #(4+1/2)/(3/4)# --> #(18/4)/(3/4)#-->#(18/4)*(4/3)#-->#18/3#--> 6

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