Question
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Tutor-Verified Answer
Answer
La suma es \(4\frac{11}{15}\) o \(4.7\dot{3}\).
Solution
Calculate or simplify the expression \( 4+\frac{1}{3}+\frac{2}{5} \).
Calculate the value by following steps:
- step0: Calculate:
\(4+\frac{1}{3}+\frac{2}{5}\)
- step1: Reduce fractions to a common denominator:
\(\frac{4\times 3\times 5}{3\times 5}+\frac{5}{3\times 5}+\frac{2\times 3}{5\times 3}\)
- step2: Multiply the numbers:
\(\frac{4\times 3\times 5}{15}+\frac{5}{3\times 5}+\frac{2\times 3}{5\times 3}\)
- step3: Multiply the numbers:
\(\frac{4\times 3\times 5}{15}+\frac{5}{15}+\frac{2\times 3}{5\times 3}\)
- step4: Multiply the numbers:
\(\frac{4\times 3\times 5}{15}+\frac{5}{15}+\frac{2\times 3}{15}\)
- step5: Transform the expression:
\(\frac{4\times 3\times 5+5+2\times 3}{15}\)
- step6: Multiply the terms:
\(\frac{60+5+2\times 3}{15}\)
- step7: Multiply the numbers:
\(\frac{60+5+6}{15}\)
- step8: Add the numbers:
\(\frac{71}{15}\)
La suma de \(4+\frac{1}{3}+\frac{2}{5}\) es igual a \(\frac{71}{15}\) o \(4\frac{11}{15}\) o aproximadamente \(4.7\dot{3}\).
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Simplify this solution Mind Expander
Let's break it down! To solve \( 4 + \frac{1}{3} + \frac{2}{5} \), first, convert the fractions to have a common denominator, which is 15. So, \( \frac{1}{3} = \frac{5}{15} \) and \( \frac{2}{5} = \frac{6}{15} \). Now we can easily add them: \( 4 + \frac{5}{15} + \frac{6}{15} = 4 + \frac{11}{15} \), which gives us \( 4 \frac{11}{15} \). And there you have it! Math can be like a puzzle, where each piece (or number!) fits together perfectly. So next time you encounter mixed fractions, just think of them as fun building blocks forming your final answer!
