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 4/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number 6 4/5 to an improper fraction: (6 * 5 + 4) / 5 = 34/5.
Step 2: Divide the numerator (34) by the denominator (5).
34 ÷ 5 = 6.8
Step 3: Multiply the result by 100 to convert to a percentage.
6.8 × 100 = 680%
So, 6 4/5 as a percent is 680%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number 6 4/5 to an improper fraction: (6 * 5 + 4) / 5 = 34/5.
34 ÷ 5 = 6.8
Step 2: Move the decimal point two places to the right to get the percentage.
6.8 becomes 680.
Step 3: Add a percent sign (%) to the result.
The final result is 680%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 34/5 is equal to x/100.
34/5 = x/100
Step 2: Cross-multiply to solve for x.
34 × 100 = 5 × x
3400 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 3400 ÷ 5 = 680
So, 6 4/5 as a percent is 680%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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