Question
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6. Sandy used \( \frac{5}{6} \) of a carton of eggs in a recipe. Write an equivalent fraction for \( \frac{5}{6} \).

Ask by Ortega Kelly. in the United States
Mar 12,2025

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Tutor-Verified Answer

Answer

An equivalent fraction for \( \frac{5}{6} \) is \( \frac{10}{12} \).

Solution

1. To find an equivalent fraction for \( \frac{5}{6} \), we multiply both the numerator and the denominator by the same nonzero number. 2. For example, let’s multiply by \(2\): \[ \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \] 3. Therefore, an equivalent fraction for \( \frac{5}{6} \) is \( \frac{10}{12} \).

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The Deep Dive

If Sandy used \( \frac{5}{6} \) of a carton of eggs, a fun way to find an equivalent fraction is to multiply both the numerator and the denominator by the same number. For example, if we multiply the numerator and the denominator by 2, we get \( \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \). So, \( \frac{10}{12} \) is an equivalent fraction to \( \frac{5}{6} \). You can create many equivalent fractions by using different multipliers! For instance, if you multiply by 3, you'd have \( \frac{15}{18} \) as another equivalent fraction. This means that no matter how you slice it, Sandy is still using 5 parts out of 6, just presented in different forms. It’s like dressing the same egg in a new outfit!

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