Question
Problem Solving 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?
Ask by Allan Rodriquez. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
17/24 of the pizza was eaten.
Solution
To find the fraction of the pizza that was eaten, add the fractions that Tashia and Jay ate:
Tashia ate 1/3 of the pizza.
Jay ate 3/8 of the pizza.
To add these, find a common denominator. The least common denominator of 3 and 8 is 24.
Convert each fraction:
• 1/3 = 8/24 (because 1 × 8 = 8 and 3 × 8 = 24)
• 3/8 = 9/24 (because 3 × 3 = 9 and 8 × 3 = 24)
Now, add the fractions:
8/24 + 9/24 = 17/24
Thus, 17/24 of the pizza was eaten.
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Simplify this solution Bonus Knowledge
To find out how much pizza was eaten by Tashia and Jay together, you need to add their fractions. First, the fractions \( \frac{1}{3} \) and \( \frac{3}{8} \) need a common denominator. The least common multiple of 3 and 8 is 24. So, convert \( \frac{1}{3} \) to \( \frac{8}{24} \) and \( \frac{3}{8} \) to \( \frac{9}{24} \). Now, add them together: \[ \frac{8}{24} + \frac{9}{24} = \frac{17}{24} \] Therefore, Tashia and Jay together ate \( \frac{17}{24} \) of the pizza!
