Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 12 \frac{1}{4} \)
Solution
To add these mixed numbers, follow these steps:
1. Add the whole numbers:
6 + 5 = 11
2. Add the fractions:
7/8 + 3/8 = 10/8
3. Simplify the fractional sum:
10/8 = 1 2/8, and since 2/8 simplifies to 1/4, we have 10/8 = 1 1/4
4. Combine the whole number sum with the whole number from the fraction:
11 + 1 = 12
So, the final answer is:
12 1/4
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Simplify this solution Beyond the Answer
To add the mixed numbers \( 6 \frac{7}{8} \) and \( 5 \frac{3}{8} \), first convert them to improper fractions. For \( 6 \frac{7}{8} \): \( 6 \times 8 + 7 = 48 + 7 = 55 \), so it becomes \( \frac{55}{8} \). For \( 5 \frac{3}{8} \): \( 5 \times 8 + 3 = 40 + 3 = 43 \), so it becomes \( \frac{43}{8} \). Now, add the two improper fractions: \[ \frac{55}{8} + \frac{43}{8} = \frac{55 + 43}{8} = \frac{98}{8}. \] Now simplify \( \frac{98}{8} = \frac{49}{4} \) or \( 12 \frac{1}{4} \). So, \( 6 \frac{7}{8} + 5 \frac{3}{8} = 12 \frac{1}{4} \).
