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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

Respuesta :

joy123333

Answer:

B) 6

Step-by-step explanation:

[tex]7\frac{1}{2}(\frac{3}{5}) + 1\frac{1}{2}[/tex]

convert mixed fractions to improper

[tex]= \frac{15}{2}(\frac{3}{5}) + \frac{3}{2} [/tex]

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

[tex]= \frac{45}{10} + \frac{3}{2} [/tex]

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

[tex]= \frac{45}{10} + \frac{15}{10}  = \frac{45+15}{10}[/tex]

[tex]= \frac{60}{10}[/tex]

[tex]= 6[/tex]  <= reduced to lowest terms

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