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 2/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the fraction to an improper fraction.
5 2/5 = (5 × 5 + 2)/5 = 27/5
Step 2: Divide the numerator (27) by the denominator (5).
27 ÷ 5 = 5.4
Step 3: Multiply the result by 100 to convert to a percentage.
5.4 × 100 = 540%
So, 5 2/5 as a percent is 110%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the fraction to an improper fraction.
5 2/5 = (5 × 5 + 2)/5 = 27/5
Step 2: Divide the numerator by the denominator.
27 ÷ 5 = 5.4
Step 3: Move the decimal point two places to the right to get the percentage.
5.4 becomes 540.
Step 4: Add a percent sign (%) to the result.
The final result is 540%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 5 2/5 is equal to x/100.
27/5 = x/100
Step 2: Cross-multiply to solve for x.
27 × 100 = 5 × x
2700 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 2700 ÷ 5 = 540
So, 5 2/5 as a percent is 540%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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