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 1/2 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number (6 1/2) into an improper fraction.
6 1/2 = 13/2
Step 2: Divide the numerator (13) by the denominator (2).
13 ÷ 2 = 6.5
Step 3: Multiply the result by 100 to convert to a percentage.
6.5 × 100 = 650%
So, 6 1/2 as a percent is 650%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number to an improper fraction.
6 1/2 = 13/2
Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.
13 ÷ 2 = 6.5
Step 3: Move the decimal point two places to the right to get the percentage.
6.5 becomes 650.
Step 4: Add a percent sign (%) to the result.
The final result is 650%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 13/2 is equal to x/100.
13/2 = x/100
Step 2: Cross-multiply to solve for x.
13 × 100 = 2 × x
1300 = 2x
Step 3: Divide both sides by 2 to solve for x.
x = 1300 ÷ 2 = 650
So, 6 1/2 as a percent is 650%.
Fraction to Percent Conversion Table
Fraction | Percent |
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