Convert Fraction to Percentage: Finding the Percentage Value of 3/4

Question

Write the fraction $\frac{3}{4}$ as a percentage

00:00 Convert fractions to percentages

00:05 We need to get a fraction with a denominator equal to 100

00:08 The percentage is equal to the numerator (X)

00:13 Apply this formula to our exercise

00:16 Multiply both the numerator and denominator by 25 to obtain a denominator equal to 100

00:26 Proceed to calculate

00:36 This is the solution

To convert the fraction $\frac{3}{4}$ into a percentage, we follow these steps:

Step 1: Identify the fraction given, which is $\frac{3}{4}$ .
Step 2: Use the conversion formula for fractions to percentages: $\frac{a}{b} \times 100\%$ .
Step 3: Multiply the fraction by 100: $\frac{3}{4} \times 100\% = \frac{300}{4}\%$ .
Step 4: Simplify the result: $\frac{300}{4} = 75\%$ .

Therefore, after multiplying and simplifying, we find that the fraction $\frac{3}{4}$ is equivalent to $75\%$ .

Reviewing the answer choices provided, the correct answer is:

Consequently, the fraction $\frac{3}{4}$ expressed as a percentage is $75\%$ .

75%