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 3/4 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert 6 3/4 into an improper fraction: 6 3/4 = 27/4.
27 ÷ 4 = 6.75
Step 2: Multiply the result by 100 to convert to a percentage.
6.75 × 100 = 675%
So, 6 3/4 as a percent is 675%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert 6 3/4 to an improper fraction: 6 3/4 = 27/4.
27 ÷ 4 = 6.75
Step 2: Move the decimal point two places to the right to get the percentage.
6.75 becomes 675.
Step 3: Add a percent sign (%) to the result.
The final result is 675%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 27/4 is equal to x/100.
27/4 = x/100
Step 2: Cross-multiply to solve for x.
27 × 100 = 4 × x
2700 = 4x
Step 3: Divide both sides by 4 to solve for x.
x = 2700 ÷ 4 = 675
So, 6 3/4 as a percent is 675%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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