Question

Krista wants to paint her house. She buys 7 1/2 gallons of paint. She uses 3/5 of the paint the front of her house and then buys 1 1/2 more gallons of paint. How many gallons of paint does does she have left?

A) 4 1/2
B) 6
C) 8 2/5
D) 9

Answer 1

B) 6

Explanation:

`7(1)/(2)((3)/(5)) + 1(1)/(2)`

convert mixed fractions to improper

`= (15)/(2)((3)/(5)) + (3)/(2)`

multiply numerators 15*3 and denominators 2*5 where you multiply fractions

`= (45)/(10) + (3)/(2)`

find a common denominator, 10. for 3/2, multiply top and bottom by 5.

`= (45)/(10) + (15)/(10)  = (45+15)/(10)`

`= (60)/(10)`

`= 6` <= reduced to lowest terms