What is the fraction equivalent of 75%?

What is the fraction equivalent of 75%?

• A. 1/2
• B. 3/4
• C. 2/5
• D. 1/4

Answer: (B)

To convert a percentage into a fraction, you start by expressing the percentage as a fraction over 100. For 75%, you can write it as \( \frac{75}{100} \). Next, simplify the fraction by finding the greatest common divisor (GCD) of 75 and 100. Both numbers can be divided by 25. When you divide the numerator and the denominator by 25, you get: \[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \] This shows that 75% is equivalent to the fraction \( \frac{3}{4} \). Understanding this conversion process is key for recognizing the relationship between percentages and fractions, as it allows you to accurately represent percentage values in a different format.

To convert a percentage into a fraction, you start by expressing the percentage as a fraction over 100. For 75%, you can write it as ( \frac{75}{100} ).

Next, simplify the fraction by finding the greatest common divisor (GCD) of 75 and 100. Both numbers can be divided by 25. When you divide the numerator and the denominator by 25, you get:

[

\frac{75 \div 25}{100 \div 25} = \frac{3}{4}

]

This shows that 75% is equivalent to the fraction ( \frac{3}{4} ). Understanding this conversion process is key for recognizing the relationship between percentages and fractions, as it allows you to accurately represent percentage values in a different format.