Question
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Answer
The sum is \( \frac{11}{20} \) or 0.55.
Solution
Calculate or simplify the expression \( 5/12+2/15 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{5}{12}+\frac{2}{15}\)
- step1: Reduce fractions to a common denominator:
\(\frac{5\times 5}{12\times 5}+\frac{2\times 4}{15\times 4}\)
- step2: Multiply the numbers:
\(\frac{5\times 5}{60}+\frac{2\times 4}{15\times 4}\)
- step3: Multiply the numbers:
\(\frac{5\times 5}{60}+\frac{2\times 4}{60}\)
- step4: Transform the expression:
\(\frac{5\times 5+2\times 4}{60}\)
- step5: Multiply the numbers:
\(\frac{25+2\times 4}{60}\)
- step6: Multiply the numbers:
\(\frac{25+8}{60}\)
- step7: Add the numbers:
\(\frac{33}{60}\)
- step8: Reduce the fraction:
\(\frac{11}{20}\)
The sum of \( \frac{5}{12} \) and \( \frac{2}{15} \) is \( \frac{11}{20} \) or 0.55.
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Simplify this solution Bonus Knowledge
To add the fractions \( \frac{5}{12} \) and \( \frac{2}{15} \), we need to find a common denominator. The least common multiple of 12 and 15 is 60. Now, we convert each fraction: - \( \frac{5}{12} = \frac{5 \times 5}{12 \times 5} = \frac{25}{60} \) - \( \frac{2}{15} = \frac{2 \times 4}{15 \times 4} = \frac{8}{60} \) Now we can add them: \[ \frac{25}{60} + \frac{8}{60} = \frac{25 + 8}{60} = \frac{33}{60} \] Finally, we can simplify \( \frac{33}{60} \) by dividing both the numerator and the denominator by 3, giving us \( \frac{11}{20} \). Thus, the answer is \( \frac{11}{20} \).
