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How do you write \( \mathbf{6 0 \%} \) as a fraction?

Ask by Pollard Chambers. in the United States
Mar 20,2025

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Answer

\( 60\% \) as a fraction is \( \frac{3}{5} \).

Solution

To convert \( 60\% \) to a fraction, follow these steps: 1. **Understand the meaning of percentage**: The term "percent" means "per hundred." Therefore, \( 60\% \) can be expressed as \( \frac{60}{100} \). 2. **Simplify the fraction**: To simplify \( \frac{60}{100} \), find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 60 and 100 is 20. 3. **Divide both the numerator and the denominator by their GCD**: \[ \frac{60 \div 20}{100 \div 20} = \frac{3}{5} \] Thus, \( 60\% \) as a fraction is \( \frac{3}{5} \).

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Beyond the Answer

To express \( \mathbf{60\%} \) as a fraction, you start by recalling that percent means "per hundred." So, \( 60\% \) can be written as \( \frac{60}{100} \). Now, let's simplify that fraction! Both the numerator and denominator can be divided by 20, leading us to \( \frac{3}{5} \). Voila! So, \( 60\% \) as a fraction is \( \frac{3}{5} \). When it comes to recognizing percentages, it can be super handy to know that any percentage can be easily transformed into a fraction by simply placing the percentage number over 100 and then simplifying it. This makes converting percentages into fractions a breeze, whether you're solving math problems or cooking (where precise measurements can be crucial)!

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