Painting and fraction

Marlon painted his poultry house using 5/6 liter of green paint and 2/3 liter of yellow paint. What color of paint was used more than the other? How much more of it was used than the other?

Solution

1) What color of paint was used more than the other?

We just need to compare the two fractions 5/6 and 2/3 to see which one is bigger.

To compare them, rewrite the fractions with the same denominator.

Just multiply the numerator and the denominator of 2/3 by 2

(2 × 2)/(3 × 2) = 4/6

Since 4/6 and 5/6 have the same denominator, we can easily compare them to see which one is bigger.

When two fractions have the same denominator, the bigger fraction is the one with the bigger numerator.

Since 5/6 has the bigger numerator, 5/6 is bigger than 4/6 or 2/3.

Therefore, more green paint was used to paint the poultry house.

2) How much more of it was used than the other?

To see how much more of the green paint was used, just do a subtraction.

5/6 - 2/3 = 5/6 - 4/6 = 1/6

Marlon used 1/6 liter more of the green paint.