Pregunta
\( 68 \% \) is equivalent to what fraction in reduced terms?
Ask by Daniels Bowers. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( 68\% \) is equal to \( \frac{17}{25} \).
Solución
To convert \( 68\% \) to a fraction in its simplest form, follow these steps:
1. **Write the Percentage as a Fraction:**
\[
68\% = \frac{68}{100}
\]
2. **Simplify the Fraction:**
- **Find the Greatest Common Divisor (GCD)** of 68 and 100.
- \( 68 = 4 \times 17 \)
- \( 100 = 4 \times 25 \)
- The GCD of 68 and 100 is **4**.
- **Divide both the numerator and the denominator by the GCD (4):**
\[
\frac{68 \div 4}{100 \div 4} = \frac{17}{25}
\]
So, \( 68\% \) simplified as a fraction is:
\[
\boxed{\dfrac{17}{25}}
\]
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Simplifique esta solución Beyond the Answer
To convert \( 68\% \) to a fraction, you first write it as \( \frac{68}{100} \). To reduce this fraction, find the greatest common divisor (GCD) of 68 and 100, which is 4. Dividing both the numerator and the denominator by their GCD gives you \( \frac{68 ÷ 4}{100 ÷ 4} = \frac{17}{25} \). So, \( 68\% \) is equivalent to \( \frac{17}{25} \) in reduced terms! You might find it fun to know that percentages are just fractions with a denominator of 100. So next time, you can think of a percentage as a slice of a pie that represents "out of 100"! This can make understanding fractions much easier, especially when quickly comparing values.
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