Pregunta
(43) a. Write 0.75 as a simplified fraction. b. Write \( \frac{5}{8} \) as a decimal number. c. Write \( 125 \% \) as a decimal number.
Ask by Boone Estrada. in the United States
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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a. \(0.75\) as a simplified fraction is \(\frac{3}{4}\).
b. \(\frac{5}{8}\) as a decimal is \(0.625\).
c. \(125\%\) as a decimal is \(1.25\).
Solución
**a. Convert \(0.75\) to a simplified fraction**
- Write \(0.75\) as a fraction:
\[
0.75 = \frac{75}{100}
\]
- Simplify the fraction by dividing numerator and denominator by \(25\):
\[
\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
\]
Thus, \(0.75\) as a simplified fraction is \(\frac{3}{4}\).
---
**b. Convert \(\frac{5}{8}\) to a decimal number**
- Divide the numerator by the denominator:
\[
\frac{5}{8} = 0.625
\]
Therefore, \(\frac{5}{8}\) as a decimal is \(0.625\).
---
**c. Convert \(125\%\) to a decimal number**
- First, express the percentage as a fraction of \(100\):
\[
125\% = \frac{125}{100}
\]
- Convert \(\frac{125}{100}\) to a decimal:
\[
\frac{125}{100} = 1.25
\]
So, \(125\%\) as a decimal is \(1.25\).
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Simplifique esta solución The Deep Dive
To convert 0.75 into a fraction, we recognize that 0.75 means 75 out of 100, or \( \frac{75}{100} \). Simplifying this by dividing both the numerator and denominator by their greatest common divisor, which is 25, gives us \( \frac{3}{4} \). Next, when you convert \( \frac{5}{8} \) to a decimal, you simply divide 5 by 8. When you do the math, this equals 0.625. Finally, to turn 125% into a decimal, you move the decimal two places to the left. Therefore, 125% becomes 1.25 in decimal form!
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