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 13/20 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed fraction to an improper fraction.
2 13/20 = (2 × 20 + 13)/20 = 53/20
Step 2: Divide the numerator (53) by the denominator (20).
53 ÷ 20 = 2.65
Step 3: Multiply the result by 100 to convert to a percentage.
2.65 × 100 = 265%
So, 2 13/20 as a percent is 265%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction to an improper fraction.
2 13/20 = 53/20
Step 2: Divide the numerator by the denominator to get the decimal.
53 ÷ 20 = 2.65
Step 3: Multiply the decimal by 100 to get the percentage.
2.65 × 100 = 265.
Step 4: Add a percent sign (%) to the result.
The final result is 265%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 53/20 is equal to x/100.
53/20 = x/100
Step 2: Cross-multiply to solve for x.
53 × 100 = 20 × x
5300 = 20x
Step 3: Divide both sides by 20 to solve for x.
x = 5300 ÷ 20 = 265
So, 2 13/20 as a percent is 265%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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