Question

Alyssa used a can of paint that was frac56 6 5 full to touch up paint in her house. When she was done, the bucket was frac1130 30 11 full. What fraction of the can did she use?

Answer 1

To find out how much paint Alyssa used, the initial fullness (5/6) is subtracted from the remaining fullness (11/30), resulting in 7/15 of the can being used after simplification.

Step-by-step explanation:

The question asks to determine how much paint Alyssa used from a full can to touch up her house. Alyssa's can was initially 5/6 full, and after painting, it was 11/30 full. To find out how much she used, we need to subtract the fraction representing the amount of paint after painting from the fraction representing the initial amount of paint.

The calculation is as follows:

1. Convert fractions to have a common denominator. The least common denominator for 6 and 30 is 30.
2. Rewrite 5/6 as 25/30 to match the common denominator.
3. Subtract the fractions: 25/30 (initial amount) - 11/30 (remaining amount) = 14/30.
4. Simplify the fraction 14/30 by dividing both the numerator and the denominator by 2 to get 7/15.

Therefore, Alyssa used 7/15 of the paint can.