Pregunta
On the Back! 6. Find the difference of \( \frac{7}{10}-\frac{1}{5} \). Show your work.
Ask by Cook Patel. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The difference is \( \frac{1}{2} \) or 0.5.
Solución
Calculate or simplify the expression \( \frac{7}{10}-\frac{1}{5} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{7}{10}-\frac{1}{5}\)
- step1: Reduce fractions to a common denominator:
\(\frac{7}{10}-\frac{2}{5\times 2}\)
- step2: Multiply the numbers:
\(\frac{7}{10}-\frac{2}{10}\)
- step3: Transform the expression:
\(\frac{7-2}{10}\)
- step4: Subtract the numbers:
\(\frac{5}{10}\)
- step5: Reduce the fraction:
\(\frac{1}{2}\)
The difference of \( \frac{7}{10} \) and \( \frac{1}{5} \) is \( \frac{1}{2} \) or 0.5.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To find the difference of \( \frac{7}{10} - \frac{1}{5} \), we first need to have a common denominator. The denominators are 10 and 5. The least common multiple (LCM) of 10 and 5 is 10. Next, we rewrite \( \frac{1}{5} \) with a denominator of 10: \[ \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10} \] Now, we can subtract the fractions: \[ \frac{7}{10} - \frac{2}{10} = \frac{7 - 2}{10} = \frac{5}{10} \] Finally, simplify \( \frac{5}{10} \): \[ \frac{5}{10} = \frac{1}{2} \] So, the difference is \( \frac{1}{2} \).
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