Question

Li had 5 2/3 gallons of juice. He served 2 3/4 gallons at breakfast. How many gallons does Li have left? Enter your answer in the box as a mixed number in simplest form. (There is a box and beside it says gallons) ^.^

Answer 1

Total quantity of juice Li had = 5 2/3 gallons.

In breakfast used quantity = 2 3/4 gallons.

Number of gallons of juice does Li have left = Total quantity - used quantity.

Therefor, number of gallons of juice does Li have left = 5 2/3 gallons - 2 3/4 gallons.

Let us convert those mixed fractions into improper fracions first.

5 2/3 = (5*3+2)/3 = 17/3.

2 3/4 = (2*4+3)/4 = 11/4.

5 2/3 gallons - 2 3/4 gallons = 17/3 -11/4.

Subtracting fractions by taking common denominator (lcd).

We have common denominator of 3 and 4 = 3*4 = 12.

So, 17/3 -11/4 = 17*4/3*4 - 11*3/4*3

= 68/12 - 33/12.

= (68-33)/12.

= 35/12

Let us convert 35/12 into mixed fraction now.

Dividing 35 by 12 we get quotient 2 and remainder 11.

So, 35/12 can be wriiten in mixed fractions as 2 11/12.

And final answer would be, Li have left 2 11/12 gallons.