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.
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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