Mark wants to paint a mural. he has 1 1/5 gallons of yellow paint, 1 1/6 gallons of green paint, and 7/8 gallon of blue paint. mark plans to use 3/4 gallon of each paint color. how many gallons of paint will he have left after painting the mural? enter your answer as a simplified fraction.

Answers

yellow =19/16. Green=5/12.  Blue=1/8

Step-by-step explanation:

\frac{119}{120}\ gal

Step-by-step explanation:

we know that

The algebraic expression to find out how many gallons of paint he will have left after painting the mural is equal to

(1\frac{1}{5}-\frac{3}{4}) + (1\frac{1}{6}-\frac{3}{4})+(\frac{7}{8}-\frac{3}{4})

Convert mixed numbers to an improper fractions

1\frac{1}{5}=1+\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}

1\frac{1}{6}=1+\frac{1}{6}=\frac{1*6+1}{6}=\frac{7}{6}

substitute

(\frac{6}{5}-\frac{3}{4}) + (\frac{7}{6}-\frac{3}{4})+(\frac{7}{8}-\frac{3}{4})

Find the least common multiple (LCM) for the denominators

(\frac{4*6-3*5}{20}) + (\frac{2*7-3*3}{12})+(\frac{7-3*2}{8})

(\frac{9}{20}) + (\frac{5}{12})+(\frac{1}{8})

Find the least common multiple (LCM) for the denominators

The LCD is

(2^3)(3)(5)=120

(\frac{9*6+5*10+1*15}{120})

\frac{119}{120}\ gal



Do you know the answer?

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