3. Ramona had \( 8 \frac{3}{8} \) in. of ribbon. She used \( 2 \frac{1}{2} \) in. for an art project. How many inches of ribbon does she have left? Find the difference in simplest form.
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Beyond the Answer
To find out how much ribbon Ramona has left, we first convert the mixed numbers to improper fractions. For \( 8 \frac{3}{8} \), we calculate \( 8 \times 8 + 3 = 64 + 3 = 67 \) so it becomes \( \frac{67}{8} \). For \( 2 \frac{1}{2} \), we have \( 2 \times 2 + 1 = 4 + 1 = 5 \), thus \( \frac{5}{2} \). We need a common denominator, which is 8. Convert \( \frac{5}{2} \) to \( \frac{20}{8} \). Now, subtract: \[ \frac{67}{8} - \frac{20}{8} = \frac{47}{8} \] To convert this back to a mixed number, divide \( 47 \) by \( 8 \) which gives \( 5 \) with a remainder of \( 7 \), leading us to \( 5 \frac{7}{8} \) in simplest form. So, Ramona has \( 5 \frac{7}{8} \) inches of ribbon left!
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