Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum is \(5 \frac{1}{2}\) or \(5.5\).
Solution
Calculate or simplify the expression \( 2+\frac{1}{6}+3+\frac{1}{3} \).
Calculate the value by following steps:
- step0: Calculate:
\(2+\frac{1}{6}+3+\frac{1}{3}\)
- step1: Add the numbers:
\(5+\frac{1}{6}+\frac{1}{3}\)
- step2: Reduce fractions to a common denominator:
\(\frac{5\times 6}{6}+\frac{1}{6}+\frac{2}{3\times 2}\)
- step3: Multiply the numbers:
\(\frac{5\times 6}{6}+\frac{1}{6}+\frac{2}{6}\)
- step4: Transform the expression:
\(\frac{5\times 6+1+2}{6}\)
- step5: Multiply the numbers:
\(\frac{30+1+2}{6}\)
- step6: Add the numbers:
\(\frac{33}{6}\)
- step7: Reduce the fraction:
\(\frac{11}{2}\)
The sum of \(2 \frac{1}{6} + 3 \frac{1}{3}\) is \(5 \frac{1}{2}\) or \(5.5\).
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Simplify this solution The Deep Dive
To add these mixed numbers, first convert them to improper fractions. For \(2 \frac{1}{6}\), it becomes \(\frac{12 + 1}{6} = \frac{13}{6}\). For \(3 \frac{1}{3}\), it becomes \(\frac{9 + 1}{3} = \frac{10}{3}\). Now, find a common denominator (which is 6) to add them: \(\frac{10}{3} = \frac{20}{6}\). Now, add: \(\frac{13}{6} + \frac{20}{6} = \frac{33}{6}\). Convert back to a mixed number: \(\frac{33}{6} = 5 \frac{3}{6} = 5 \frac{1}{2}\). So, \(2 \frac{1}{6} + 3 \frac{1}{3} = 5 \frac{1}{2}\).
