Question
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D. \( 7 \frac{1}{8}-3 \)

Ask by Bowen Greene. in South Africa
Mar 09,2025

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Tutor-Verified Answer

Answer

The answer is \( 4\frac{1}{8} \).

Solution

1. Convert the mixed number \( 7\frac{1}{8} \) to an improper fraction: \[ 7\frac{1}{8} = \frac{7 \times 8 + 1}{8} = \frac{56 + 1}{8} = \frac{57}{8} \] 2. Express the integer \( 3 \) as a fraction with denominator 8: \[ 3 = \frac{3 \times 8}{8} = \frac{24}{8} \] 3. Subtract the fractions: \[ \frac{57}{8} - \frac{24}{8} = \frac{57 - 24}{8} = \frac{33}{8} \] 4. Convert the improper fraction back to a mixed number: \[ \frac{33}{8} = 4\frac{1}{8} \quad \text{(since \( 8 \times 4 = 32 \) with a remainder of 1)} \] The final answer is \( 4\frac{1}{8} \).

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Beyond the Answer

Let's dive into the world of fractions, shall we? To solve \( 7 \frac{1}{8} - 3 \), first convert the mixed number into an improper fraction. Multiply 7 by 8 (which equals 56) and then add 1, giving us \( \frac{57}{8} \). Now, convert 3 into a fraction with a denominator of 8, resulting in \( \frac{24}{8} \). Subtract \( \frac{24}{8} \) from \( \frac{57}{8} \) to get \( \frac{33}{8} \). You can also convert this back to a mixed number, which becomes \( 4 \frac{1}{8} \)! Looking for a fun way to remember your fraction and mixed number operations? Picture a pizza – after you’ve taken your three slices away from the delicious 7 1/8 slices, how many are left? Using visual reminders can help solidify those subtraction skills, making math as satisfying as your favorite treat!

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