Question

Katherine uses 7/10 of a gallon of red paint to paint 3/5 of her wall. How many gallons of red paint will she use to paint her whole wall?

Option 1: 21/50
Option 2: 7/15
Option 3: 1 1/6
Option 4: 1 3/10

Answer 1

Katherine will use 1 (1/6) gallons of red paint to paint her whole wall.

Step-by-step explanation:

To find the amount of red paint Katherine will use to paint her whole wall, we need to know how much red paint she used to paint 3/5 of her wall and then find the equivalent amount for the whole wall.

If Katherine used 7/10 of a gallon of red paint to paint 3/5 of her wall, we can find the amount of red paint needed for the whole wall by dividing 7/10 by 3/5. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

(7/10) ÷ (3/5) = (7/10) × (5/3) = 35/30 = 7/6 = 1 (1/6)

Therefore, Katherine will use 1 (1/6) gallons of red paint to paint her whole wall, which is Option 3: 1 1/6.