Question
A fraction with a numerator of one is called a unit fraction. This math sentence shows \( \frac{3}{4} \) as a sum of unit fractions: \( \frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4} \) Show \( \frac{5}{8} \) as a \( +\quad+\ldots+ \) of unit fractions.
Ask by Joseph Ramirez. in the United States
Feb 04,2025
Real Tutor Solution
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Answer
You can write \( \frac{5}{8} \) as the sum of five \( \frac{1}{8} \) fractions:
\[
\frac{5}{8} = \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8}
\]
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Mind Expander
To express \( \frac{5}{8} \) as a sum of unit fractions, we can break it down like this: \[ \frac{5}{8} = \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} \] So, we can write it as: \[ \frac{5}{8} = \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} \] Alternatively, you can also express \( \frac{5}{8} \) as: \[ \frac{5}{8} = \frac{1}{2} + \frac{1}{8} + \frac{1}{8} \] This gives you a little variation in how to sum unit fractions!
