4. Tashia ate $$ \frac{1}{3} $$ of a pizza, and Jay ate $$ \frac{3}{8} $$ of the same pizza. What fraction of the pizza was eaten?

Question

UpStudy AI · Accepted Answer

To find the total fraction of the pizza that was eaten by Tashia and Jay, we need to add the fractions they consumed:

1. Tashia ate $$ \frac{1}{3} $$ of the pizza.
2. Jay ate $$ \frac{3}{8} $$ of the pizza.

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

Now, we will convert each fraction to have a denominator of 24:

- For Tashia:
$$
\frac{1}{3} = \frac{1 \times 8}{3 \times 8} = \frac{8}{24}
$$

- For Jay:
$$
\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
$$

Now we can add the two fractions:
$$
\frac{8}{24} + \frac{9}{24} = \frac{8 + 9}{24} = \frac{17}{24}
$$

Thus, the total fraction of the pizza that was eaten is $$ \frac{17}{24} $$.
The total fraction of the pizza eaten is $$ \frac{17}{24} $$.

4. Tashia ate \( \frac{1}{3} \) of a pizza, and Jay ate \( \frac{3}{8} \) of the same pizza. What fraction of the pizza was eaten?