To convert a fraction to a percent, first convert any mixed fraction to an improper fraction, then divide the numerator by the denominator to get a decimal, and multiply the result by 100 to find the equivalent percentage.
Convert the Fraction 6 1/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed fraction 6 1/5 to an improper fraction.
6 1/5 = (6 × 5 + 1) / 5 = 31/5
Step 2: Divide the numerator (31) by the denominator (5).
31 ÷ 5 = 6.2
Step 3: Multiply the result by 100 to convert to a percentage.
6.2 × 100 = 620%
So, 6 1/5 as a percent is 620%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed fraction to a decimal by first changing it to an improper fraction and then dividing.
31 ÷ 5 = 6.2
Step 2: Move the decimal point two places to the right to get the percentage.
6.2 becomes 620.
Step 3: Add a percent sign (%) to the result.
The final result is 620%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 6 1/5 (or 31/5) is equal to x/100.
31/5 = x/100
Step 2: Cross-multiply to solve for x.
31 × 100 = 5 × x
3100 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 3100 ÷ 5 = 620
So, 6 1/5 as a percent is 620%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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