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 40/120 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Divide the numerator (40) by the denominator (120).
40 ÷ 120 = 0.3333
Step 2: Multiply the result by 100 to convert to a percentage.
0.3333 × 100 = 33.33%
So, 40/120 as a percent is 33.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.
40 ÷ 120 = 0.3333
Step 2: Move the decimal point two places to the right to get the percentage.
0.3333 becomes 33.33.
Step 3: Add a percent sign (%) to the result.
The final result is 33.33%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 40/120 is equal to x/100.
40/120 = x/100
Step 2: Cross-multiply to solve for x.
40 × 100 = 120 × x
4000 = 120x
Step 3: Divide both sides by 120 to solve for x.
x = 4000 ÷ 120 = 33.33
So, 40/120 as a percent is 33.33%.
Fraction to Percent Conversion Table
Fraction | Percent |
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