Question
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Answer
\( \frac{1}{3}+\frac{2}{5}=\frac{11}{15} \)
Solution
Calculate or simplify the expression \( \frac{1}{3}+\frac{2}{5} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1}{3}+\frac{2}{5}\)
- step1: Reduce fractions to a common denominator:
\(\frac{5}{3\times 5}+\frac{2\times 3}{5\times 3}\)
- step2: Multiply the numbers:
\(\frac{5}{15}+\frac{2\times 3}{5\times 3}\)
- step3: Multiply the numbers:
\(\frac{5}{15}+\frac{2\times 3}{15}\)
- step4: Transform the expression:
\(\frac{5+2\times 3}{15}\)
- step5: Multiply the numbers:
\(\frac{5+6}{15}\)
- step6: Add the numbers:
\(\frac{11}{15}\)
The sum of \( \frac{1}{3} \) and \( \frac{2}{5} \) is \( \frac{11}{15} \) or approximately 0.733.
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Simplify this solution The Deep Dive
To add these fractions, you'll first want to find a common denominator. The least common multiple (LCM) of 3 and 5 is 15. So, convert each fraction: \( \frac{1}{3} = \frac{5}{15} \) and \( \frac{2}{5} = \frac{6}{15} \). Now, you can add them: \( \frac{5}{15}+\frac{6}{15}=\frac{11}{15} \). So, \( \frac{1}{3}+\frac{2}{5} = \frac{11}{15} \)! Fractions can be tricky, but they’re like puzzle pieces; with the right approach, they fit perfectly together!
