Pregunta
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The result is \( -\frac{17}{15} \) or \( -1\frac{2}{15} \) or \( -1.1\dot{3} \).
Solución
Calculate or simplify the expression \( -\frac{1}{3}+\left(-\frac{4}{5}\right) \).
Calculate the value by following steps:
- step0: Calculate:
\(-\frac{1}{3}+\left(-\frac{4}{5}\right)\)
- step1: Remove the parentheses:
\(-\frac{1}{3}-\frac{4}{5}\)
- step2: Reduce fractions to a common denominator:
\(-\frac{5}{3\times 5}-\frac{4\times 3}{5\times 3}\)
- step3: Multiply the numbers:
\(-\frac{5}{15}-\frac{4\times 3}{5\times 3}\)
- step4: Multiply the numbers:
\(-\frac{5}{15}-\frac{4\times 3}{15}\)
- step5: Transform the expression:
\(\frac{-5-4\times 3}{15}\)
- step6: Multiply the numbers:
\(\frac{-5-12}{15}\)
- step7: Subtract the numbers:
\(\frac{-17}{15}\)
- step8: Rewrite the fraction:
\(-\frac{17}{15}\)
The result of \( -\frac{1}{3}+\left(-\frac{4}{5}\right) \) is \( -\frac{17}{15} \) or \( -1\frac{2}{15} \) or \( -1.1\dot{3} \).
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Simplifique esta solución Beyond the Answer
Let's break it down! To add these two negative fractions, first, we need a common denominator. The common denominator of 3 and 5 is 15. So, we can rewrite the fractions: \(-\frac{1}{3} = -\frac{5}{15}\) and \(-\frac{4}{5} = -\frac{12}{15}\). Now, add them together: \(-\frac{5}{15} + (-\frac{12}{15}) = -\frac{5 + 12}{15} = -\frac{17}{15}\). So, the final answer is \(-\frac{17}{15}\) or -1 and \(\frac{2}{15}\) if you prefer a mixed number! Want to impress your friends with your fraction skills? Remember, negative signs can be tricky, but when you’re adding them, just keep that bad vibe going! Negative plus negative equals more negative!
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