How do you convert a fraction to a percent?

How do you convert a fraction to a percent?

• A. Convert fraction to a decimal, then multiply by 100
• B. Multiply numerator by 100
• C. Divide by 100
• D. Multiply numerator and denominator by 100

Answer: (A)

To express a fraction as a percent, you first turn it into a decimal and then multiply by 100. That’s because percent means “per hundred,” so moving the decimal two places to the right converts the decimal into a percent. For example, 3/4 equals 0.75 in decimal, and 0.75 × 100 = 75, so 3/4 is 75%. In general, this is the simplest and most direct method: (fraction) → (decimal) → (percent). You can also think of it as (numerator/denominator) × 100%. Multiplying just the numerator by 100 would miss dividing by the denominator, so it isn’t correct by itself. Dividing by 100 would yield a much smaller value, not a percent. Multiplying numerator and denominator by 100 keeps the fraction the same value and doesn’t directly give you a percent either.

To express a fraction as a percent, you first turn it into a decimal and then multiply by 100. That’s because percent means “per hundred,” so moving the decimal two places to the right converts the decimal into a percent. For example, 3/4 equals 0.75 in decimal, and 0.75 × 100 = 75, so 3/4 is 75%.

In general, this is the simplest and most direct method: (fraction) → (decimal) → (percent). You can also think of it as (numerator/denominator) × 100%.

Multiplying just the numerator by 100 would miss dividing by the denominator, so it isn’t correct by itself. Dividing by 100 would yield a much smaller value, not a percent. Multiplying numerator and denominator by 100 keeps the fraction the same value and doesn’t directly give you a percent either.