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\begin{tabular}{l} I. Convert each improper fraction to a whole or mixed number. \\ \( \frac{15}{2}= \) \\ \( \frac{35}{4}= \) \\ \( \frac{124}{12}= \) \\ \hline\( \frac{52}{13} \)\end{tabular}\( = \)

Ask by Stewart Mcfarlane. in the United States
Jan 23,2025

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Answer

\( \frac{15}{2} = 7 \frac{1}{2} \), \( \frac{35}{4} = 8 \frac{3}{4} \), \( \frac{124}{12} = 10 \frac{1}{3} \), \( \frac{52}{13} = 4 \).

Solution

To convert each improper fraction to a whole or mixed number, we will follow these steps: 1. Divide the numerator by the denominator. 2. The quotient will be the whole number part. 3. The remainder will be the new numerator for the fractional part. 4. The denominator remains the same. Let's solve each fraction step by step. ### 1. Convert \( \frac{15}{2} \) - Divide \( 15 \) by \( 2 \): \[ 15 \div 2 = 7 \quad \text{(whole number part)} \] Remainder: \[ 15 - (2 \times 7) = 1 \quad \text{(remainder)} \] - So, \( \frac{15}{2} = 7 \frac{1}{2} \). ### 2. Convert \( \frac{35}{4} \) - Divide \( 35 \) by \( 4 \): \[ 35 \div 4 = 8 \quad \text{(whole number part)} \] Remainder: \[ 35 - (4 \times 8) = 3 \quad \text{(remainder)} \] - So, \( \frac{35}{4} = 8 \frac{3}{4} \). ### 3. Convert \( \frac{124}{12} \) - Divide \( 124 \) by \( 12 \): \[ 124 \div 12 = 10 \quad \text{(whole number part)} \] Remainder: \[ 124 - (12 \times 10) = 4 \quad \text{(remainder)} \] - So, \( \frac{124}{12} = 10 \frac{4}{12} \). - We can simplify \( \frac{4}{12} \) to \( \frac{1}{3} \), so: \[ \frac{124}{12} = 10 \frac{1}{3}. \] ### 4. Convert \( \frac{52}{13} \) - Divide \( 52 \) by \( 13 \): \[ 52 \div 13 = 4 \quad \text{(whole number part)} \] Remainder: \[ 52 - (13 \times 4) = 0 \quad \text{(remainder)} \] - So, \( \frac{52}{13} = 4 \). ### Summary of Results - \( \frac{15}{2} = 7 \frac{1}{2} \) - \( \frac{35}{4} = 8 \frac{3}{4} \) - \( \frac{124}{12} = 10 \frac{1}{3} \) - \( \frac{52}{13} = 4 \) Thus, the final answers are: - \( \frac{15}{2} = 7 \frac{1}{2} \) - \( \frac{35}{4} = 8 \frac{3}{4} \) - \( \frac{124}{12} = 10 \frac{1}{3} \) - \( \frac{52}{13} = 4 \)

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Bonus Knowledge

To convert the improper fractions to a whole or mixed number, you divide the numerator by the denominator: 1. For \( \frac{15}{2} \): - \( 15 \div 2 = 7 \) with a remainder of \( 1 \), so it can be written as \( 7 \frac{1}{2} \). 2. For \( \frac{35}{4} \): - \( 35 \div 4 = 8 \) with a remainder of \( 3 \), leading to \( 8 \frac{3}{4} \). 3. For \( \frac{124}{12} \): - \( 124 \div 12 = 10 \) with a remainder of \( 4 \), thus it becomes \( 10 \frac{1}{3} \). Finally, \( \frac{52}{13} \): - \( 52 \div 13 = 4 \), so it equals \( 4 \). In summary: - \( \frac{15}{2} = 7 \frac{1}{2} \) - \( \frac{35}{4} = 8 \frac{3}{4} \) - \( \frac{124}{12} = 10 \frac{1}{3} \) - \( \frac{52}{13} = 4 \)

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