Maria ate 1/3 of a pie. Her sister, Rebecca, ate 1/5 of the pie. What fraction of the whole pie did Rebecca eat?
To find out what fraction of the whole pie Rebecca ate, you need to add the fractions that Maria and Rebecca ate and subtract that total from the whole pie.
First, let's find the common denominator, which is the least common multiple of 3 and 5. The least common multiple of 3 and 5 is 15.
Now, let's convert the fractions to have a denominator of 15.
For Maria: 1/3 * 5/5 = 5/15
For Rebecca: 1/5 * 3/3 = 3/15
Next, let's add the fractions that Maria and Rebecca ate: 5/15 + 3/15 = 8/15.
Since Maria and Rebecca together ate 8/15 of the pie, Rebecca ate 3/15 or simplified, 1/5 of the whole pie.