Question
Four friends each ordered a tart at a restaurant. Lisa ate \( \frac{5}{8} \) of her tart. Nathan ate \( \frac{2}{3} \) of his tart. Jackie ate \( \frac{1}{4} \) of her tart. ate \( \frac{2}{6} \) of his tart. Who ate more than half of their tart? Who ate less than half of their tart?
Ask by Medina Romero. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Lisa and Nathan ate more than half of their tarts, while Jackie and the fourth friend ate less than half.
Solution
Let’s break down the portions eaten by each friend:
• Lisa ate 5/8 of her tart. Converting 5/8 to a decimal gives 0.625, which is more than half.
• Nathan ate 2/3 of his tart. Converting 2/3 to a decimal gives approximately 0.667, which is also more than half.
• Jackie ate 1/4 of her tart. Converting 1/4 to a decimal gives 0.25, which is less than half.
• The fourth friend ate 2/6 (which simplifies to 1/3) of his tart. Converting 1/3 to a decimal gives approximately 0.333, which is less than half.
Answer:
More than half: Lisa and Nathan
Less than half: Jackie and the fourth friend
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
First up, let's break down how much each friend devoured! Lisa chowed down \( \frac{5}{8} \) of her tart, which is more than half (since \( \frac{4}{8} \) is half). Nathan enjoyed \( \frac{2}{3} \) of his tart, and since \( \frac{4}{6} \) is also more than half, he wins that round too! Jackie, on the other hand, ate only \( \frac{1}{4} \) of her tart—definitely less than half. Lastly, the mystery friend, who munched on \( \frac{2}{6} \) (or simplified, \( \frac{1}{3} \)), also fell under the half mark. So, to sum it up: Lisa and Nathan ate more than half of their tarts, while Jackie and the fourth friend ate less than half! Tart-tastic!
