Pregunta
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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

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Lisa and Nathan ate more than half of their tarts, while Jackie and the fourth friend ate less than half.

Solución

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

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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!

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