Question
2) \( \left(\frac{7}{5}\right)\left(\frac{1}{2}\right)-\frac{2}{5} \)
Ask by Barnett Whittaker. in Mexico
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
El resultado es \(\frac{3}{10}\).
Solution
Para resolver la expresión:
\[
\left(\frac{7}{5}\right) \times \left(\frac{1}{2}\right) - \frac{2}{5}
\]
**Paso 1:** Multiplicar \(\frac{7}{5}\) por \(\frac{1}{2}\):
\[
\frac{7}{5} \times \frac{1}{2} = \frac{7 \times 1}{5 \times 2} = \frac{7}{10}
\]
**Paso 2:** Restar \(\frac{2}{5}\) de \(\frac{7}{10}\). Para ello, es necesario tener el mismo denominador:
\[
\frac{2}{5} = \frac{4}{10} \quad (\text{multiplicando numerador y denominador por } 2)
\]
Ahora, restamos:
\[
\frac{7}{10} - \frac{4}{10} = \frac{7 - 4}{10} = \frac{3}{10}
\]
**Resultado final:**
\[
\frac{3}{10}
\]
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Simplify this solution Extra Insights
To solve \( \left(\frac{7}{5}\right)\left(\frac{1}{2}\right)-\frac{2}{5} \), start with the multiplication: \[ \left(\frac{7}{5}\right)\left(\frac{1}{2}\right) = \frac{7 \times 1}{5 \times 2} = \frac{7}{10} \] Now, combine this result with \( -\frac{2}{5} \). To do that, convert \( \frac{2}{5} \) to a fraction with a denominator of 10: \[ -\frac{2}{5} = -\frac{2 \times 2}{5 \times 2} = -\frac{4}{10} \] Now, we can add \( \frac{7}{10} \) and \( -\frac{4}{10} \): \[ \frac{7}{10} - \frac{4}{10} = \frac{7 - 4}{10} = \frac{3}{10} \] So, the final answer is: \[ \frac{3}{10} \]
