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 2/25 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the fraction into an improper fraction.
5 2/25 = (5 × 25 + 2) / 25 = 127 / 25
Step 2: Divide the numerator (127) by the denominator (25).
127 ÷ 25 = 5.08
Step 3: Multiply the result by 100 to convert to a percentage.
5.08 × 100 = 508%
So, 5 2/25 as a percent is 508%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.
127 ÷ 25 = 5.08
Step 2: Move the decimal point two places to the right to get the percentage.
5.08 becomes 508.
Step 3: Add a percent sign (%) to the result.
The final result is 508%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 127/25 is equal to x/100.
127/25 = x/100
Step 2: Cross-multiply to solve for x.
127 × 100 = 25 × x
12700 = 25x
Step 3: Divide both sides by 25 to solve for x.
x = 12700 ÷ 25 = 508
So, 5 2/25 as a percent is 508%.
Fraction to Percent Conversion Table
Fraction | Percent |
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