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 6 2/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number to an improper fraction: 6 2/5 = (6 * 5 + 2)/5 = 32/5.
Step 2: Divide the numerator (32) by the denominator (5).
32 ÷ 5 = 6.4
Step 3: Multiply the result by 100 to convert to a percentage.
6.4 × 100 = 640%
So, 6 2/5 as a percent is 640%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number to an improper fraction: 6 2/5 = 32/5.
Step 2: Divide the numerator by the denominator to convert to a decimal.
32 ÷ 5 = 6.4
Step 3: Move the decimal point two places to the right to get the percentage.
6.4 becomes 640.
Step 4: Add a percent sign (%) to the result.
The final result is 640%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 32/5 is equal to x/100.
32/5 = x/100
Step 2: Cross-multiply to solve for x.
32 × 100 = 5 × x
3200 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 3200 ÷ 5 = 640
So, 6 2/5 as a percent is 640%.
Fraction to Percent Conversion Table
Fraction | Percent |
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