Erica is getting dessert at a pie buffet where all the pies are the same size. She takes 1/5 of an apple pie and 3/4 of a cherry pie. What fraction of a whole pie did Erica take, expressed as a percentage?
How many pies are there? ** First, find a common denominator for the fractions by multiplying 5 and 4: 5 * 4 = <<5*4=20>>20.
How many twentieths are in 1/5 of an apple pie? ** Then convert 1/5 to twentieths by multiplying the top and bottom by 4: 1/5 * 4/4 = 4/20.
How many twentieths are in 3/4 of a cherry pie? ** Then convert 3/4 to twentieths by multiplying the top and bottom by 5: 3/4 * 5/5 = 15/20
How many twentietys are in 1/5 of an apple pie and 3/4 of a cherry pie? ** Now that the two fractions have the same denominator, you can add them: 4/20 + 15/20 = 19/20.
What fraction of a whole pie did Erica take? ** Now divide 19 by 20 and multiply the answer by 100 to convert the fraction to a percentage: 19/20 * 100 = %<<19/20*100=95>>95.
#### 95