Question
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Tutor-Verified Answer
Answer
The sum is 5 1/3.
Solution
To solve 3 3/6 + 1 5/6, follow these steps:
1. Add the whole numbers: 3 + 1 = 4.
2. Add the fractional parts: 3/6 + 5/6 = 8/6.
3. Simplify 8/6 by dividing numerator and denominator by 2: 8/6 = 4/3, which is 1 1/3.
4. Combine the whole numbers and the extra whole from the fraction: 4 + 1 1/3 = 5 1/3.
Thus, the sum is 5 1/3.
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Simplify this solution Beyond the Answer
To solve \( 3 \frac{3}{6} + 1 \frac{5}{6} \), first convert these mixed numbers into improper fractions. For \( 3 \frac{3}{6} \), we multiply the whole number 3 by the denominator 6 and add the numerator: \( 3 \cdot 6 + 3 = 18 + 3 = 21 \). So, it's \( \frac{21}{6} \). For \( 1 \frac{5}{6} \), do the same: \( 1 \cdot 6 + 5 = 6 + 5 = 11 \). This gives us \( \frac{11}{6} \). Now, add the two improper fractions: \[ \frac{21}{6} + \frac{11}{6} = \frac{21 + 11}{6} = \frac{32}{6} \] Finally, simplify \( \frac{32}{6} \) to \( \frac{16}{3} \) or \( 5 \frac{1}{3} \). So, the answer is \( 5 \frac{1}{3} \).
