Katherine uses $\frac{7}{10}$ of a gallon of red paint to paint $\frac{3}{5}$ of her wall. How many gallons of red paint will she use to paint her whole wall? There is no 5/5

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Answer:

1.167 gallons

Step-by-step explanation:

Given that:

Fraction of red paint used = 7/10 of a gallon

Fraction of wall painted = 3/5

Gallon of paint required to paint the entire wall:

Fraction of entire wall = 1/1

7/10 paint = 3/5 wall

x paint = 1 wall

Cross multiply

(3/5)x = 7/10

Divide both sides by 3/5

3/5x ÷ 3/5 = 7/10 ÷ 3/5

(3/5)x * 5/3 = 7/10 * 5/3

x = 35 / 30

x = 7/6 = 1.167 gallons of red paint