Rachel had 1/8 bag of popcorn. Ethan had 2/3 bag of popcorn. How much popcorn did they have altogether?

Answer 1

To find out how much popcorn Rachel and Ethan had altogether, you need to add their amounts of popcorn:

Rachel: \( \frac{1}{8} \) bag Ethan: \( \frac{2}{3} \) bag

To add these fractions, we need a common denominator. The least common multiple of \( 8 \) and \( 3 \) is \( 24 \).

Now, we will convert both fractions to have a denominator of \( 24 \):

1. Convert \( \frac{1}{8} \): \[ \frac{1}{8} = \frac{1 \times 3}{8 \times 3} = \frac{3}{24} \]

2. Convert \( \frac{2}{3} \): \[ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \]

Now, add the two fractions: \[ \frac{3}{24} + \frac{16}{24} = \frac{3 + 16}{24} = \frac{19}{24} \]

Therefore, Rachel and Ethan had \( \frac{19}{24} \) bags of popcorn altogether.