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 82/120 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Divide the numerator (82) by the denominator (120).
82 ÷ 120 = 0.6833
Step 2: Multiply the result by 100 to convert to a percentage.
0.6833 × 100 = 68.33%
So, 82/120 as a percent is 68.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.
82 ÷ 120 = 0.6833
Step 2: Move the decimal point two places to the right to get the percentage.
0.6833 becomes 68.33.
Step 3: Add a percent sign (%) to the result.
The final result is 68.33%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 82/120 is equal to x/100.
82/120 = x/100
Step 2: Cross-multiply to solve for x.
82 × 100 = 120 × x
8200 = 120x
Step 3: Divide both sides by 120 to solve for x.
x = 8200 ÷ 120 = 68.33
So, 82/120 as a percent is 68.33%.
Fraction to Percent Conversion Table
Fraction | Percent |
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