Question
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Answer
The sum is \(5\frac{1}{40}\) or \(5.025\).
Solution
Calculate or simplify the expression \( 1\frac{5}{8}+3\frac{2}{5} \).
Calculate the value by following steps:
- step0: Calculate:
\(1\frac{5}{8}+3\frac{2}{5}\)
- step1: Convert the expressions:
\(\frac{13}{8}+\frac{17}{5}\)
- step2: Reduce fractions to a common denominator:
\(\frac{13\times 5}{8\times 5}+\frac{17\times 8}{5\times 8}\)
- step3: Multiply the numbers:
\(\frac{13\times 5}{40}+\frac{17\times 8}{5\times 8}\)
- step4: Multiply the numbers:
\(\frac{13\times 5}{40}+\frac{17\times 8}{40}\)
- step5: Transform the expression:
\(\frac{13\times 5+17\times 8}{40}\)
- step6: Multiply the numbers:
\(\frac{65+17\times 8}{40}\)
- step7: Multiply the numbers:
\(\frac{65+136}{40}\)
- step8: Add the numbers:
\(\frac{201}{40}\)
The sum of \(1\frac{5}{8}\) and \(3\frac{2}{5}\) is \(5\frac{1}{40}\) or \(5.025\).
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Simplify this solution Mind Expander
To solve \( 1 \frac{5}{8} + 3 \frac{2}{5} \), first convert the mixed numbers into improper fractions. For \( 1 \frac{5}{8} \), it becomes \( \frac{13}{8} \) (since \( 1 \times 8 + 5 = 13 \)). For \( 3 \frac{2}{5} \), it becomes \( \frac{17}{5} \) (since \( 3 \times 5 + 2 = 17 \)). Now, to add these fractions, we need a common denominator, which is 40. Convert \( \frac{13}{8} = \frac{65}{40} \) and \( \frac{17}{5} = \frac{136}{40} \). Now, adding these gives: \[ \frac{65}{40} + \frac{136}{40} = \frac{201}{40}. \] Convert back to a mixed number: \[ \frac{201}{40} = 5 \frac{1}{40}. \] So, the final answer is \( 5 \frac{1}{40} \).
