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 7/25 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed fraction to an improper fraction: (5 × 25 + 7)/25 = 132/25.
Step 2: Divide the numerator (132) by the denominator (25).
132 ÷ 25 = 5.28
Step 3: Multiply the result by 100 to convert to a percentage.
5.28 × 100 = 528%
So, 5 7/25 as a percent is 528%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction to an improper fraction: (5 × 25 + 7)/25 = 132/25.
Step 2: Divide the numerator (132) by the denominator (25) to convert to a decimal.
132 ÷ 25 = 5.28
Step 3: Move the decimal point two places to the right to get the percentage.
5.28 becomes 528.
Step 4: Add a percent sign (%) to the result.
The final result is 528%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 132/25 is equal to x/100.
132/25 = x/100
Step 2: Cross-multiply to solve for x.
132 × 100 = 25 × x
13200 = 25x
Step 3: Divide both sides by 25 to solve for x.
x = 13200 ÷ 25 = 528
So, 5 7/25 as a percent is 528%.
Fraction to Percent Conversion Table
Fraction | Percent |
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