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 3/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction 5 3/5 into an improper fraction.
5 3/5 = (5 × 5 + 3)/5 = 28/5
Step 2: Divide the numerator (28) by the denominator (5).
28 ÷ 5 = 5.6
Step 3: Multiply the result by 100 to convert to a percentage.
5.6 × 100 = 560%
So, 5 3/5 as a percent is 560%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the fraction 5 3/5 into a decimal.
5 3/5 = 5 + (3 ÷ 5) = 5.6
Step 2: Multiply the decimal (5.6) by 100 to convert to a percentage.
5.6 × 100 = 560%
The final result is 560%.
Method 3: Use Proportions to Find Percent
Step 1: Convert 5 3/5 to the improper fraction 28/5, then set up a proportion where 28/5 is equal to x/100.
28/5 = x/100
Step 2: Cross-multiply to solve for x.
28 × 100 = 5 × x
2800 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 2800 ÷ 5 = 560
So, 5 3/5 as a percent is 560%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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