To convert a fraction to a percent, first convert the fraction to an improper fraction, then divide the numerator by the denominator to get a decimal, and finally multiply the result by 100. This gives the equivalent percentage of the fraction.
Convert the Fraction 2 9/25 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed fraction to an improper fraction.
2 9/25 = (2 × 25 + 9)/25 = 59/25
Step 2: Divide the numerator (59) by the denominator (25).
59 ÷ 25 = 2.36
Step 3: Multiply the result by 100 to convert to a percentage.
2.36 × 100 = 236%
So, 2 9/25 as a percent is 236%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to an improper fraction.
2 9/25 = 59/25
Step 2: Divide the numerator by the denominator to get the decimal.
59 ÷ 25 = 2.36
Step 3: Multiply the decimal by 100 to get the percentage.
2.36 × 100 = 236.
Step 4: Add a percent sign (%) to the result.
The final result is 236%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 59/25 is equal to x/100.
59/25 = x/100
Step 2: Cross-multiply to solve for x.
59 × 100 = 25 × x
5900 = 25x
Step 3: Divide both sides by 25 to solve for x.
x = 5900 ÷ 25 = 236
So, 2 9/25 as a percent is 236%.
Fraction to Percent Conversion Table
Fraction | Percent |
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