Emily bought a pie. Emily ate 2/3 of the pie and Ryan ate 1/5 of the pie. How much of the original pie is left?

(15/15) - (10/15 + 3/15) = ?

To find out how much of the original pie is left, we need to subtract the portions eaten by Emily and Ryan from the whole pie.

First, let's calculate the portion eaten by Emily. We know that Emily ate 2/3 of the pie.

To calculate this, we can multiply the fraction 2/3 by a whole pie. Multiplying by 1 does not change the value of a number, so we can rewrite 2/3 as (2/3) * 1.

To multiply two fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, (2/3) * 1 = (2 * 1) / (3 * 1) = 2/3.

Now that we have the portion eaten by Emily, let's calculate the portion eaten by Ryan. We know that Ryan ate 1/5 of the pie.

Using the same method as before, we can calculate (1/5) * 1 = 1/5.

Now, let's find the portion of the original pie that is left by subtracting the portions eaten by Emily and Ryan from 1 (which represents the whole pie):

1 - (2/3 + 1/5)

To subtract fractions, we need to find a common denominator. In this case, the least common denominator (LCD) of 3 and 5 is 15, so let's rewrite the fractions with the LCD:

1 - (10/15 + 3/15)

Now that the denominators are the same, we can add the numerators together and keep the same denominator:

1 - (13/15)

To subtract fractions, we need a common denominator, so we can rewrite 1 as 15/15:

15/15 - 13/15 = 2/15

Therefore, there is 2/15 of the original pie left.