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 5 1/4 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed number (5 1/4) into an improper fraction.
5 1/4 = (5 × 4 + 1)/4 = 21/4
Step 2: Divide the numerator (21) by the denominator (4).
21 ÷ 4 = 5.25
Step 3: Multiply the result by 100 to convert to a percentage.
5.25 × 100 = 525%
So, 5 1/4 as a percent is 525%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed number (5 1/4) into a decimal.
5 1/4 = 5 + 1/4 = 5 + 0.25 = 5.25
Step 2: Multiply the decimal by 100 to get the percentage.
5.25 × 100 = 525%
The final result is 525%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 21/4 is equal to x/100.
21/4 = x/100
Step 2: Cross-multiply to solve for x.
21 × 100 = 4 × x
2100 = 4x
Step 3: Divide both sides by 4 to solve for x.
x = 2100 ÷ 4 = 525
So, 5 1/4 as a percent is 525%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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