What is 3 3/4 as a percent?

To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.

Convert the Fraction 3 3/4 into Percent.

3 3/4 as a percent is 375%

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the fraction (3 3/4) into an improper fraction.

3 3/4 = (3 × 4 + 3) / 4 = 15/4

Step 2: Divide the numerator (15) by the denominator (4).

15 ÷ 4 = 3.75

Step 3: Multiply the result by 100 to convert to a percentage.

3.75 × 100 = 375%

So, 3 3/4 as a percent is 375%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the fraction (3 3/4) to a decimal by dividing the numerator by the denominator.

15 ÷ 4 = 3.75

Step 2: Move the decimal point two places to the right to get the percentage.

3.75 becomes 375.

Step 3: Add a percent sign (%) to the result.

The final result is 375%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 15/4 is equal to x/100.

15/4 = x/100

Step 2: Cross-multiply to solve for x.

15 × 100 = 4 × x

1500 = 4x

Step 3: Divide both sides by 4 to solve for x.

x = 1500 ÷ 4 = 375

So, 3 3/4 as a percent is 375%.

Fraction to Percent Conversion Table

Fraction Percent

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