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 105/120 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Divide the numerator (105) by the denominator (120).
105 ÷ 120 = 0.875
Step 2: Multiply the result by 100 to convert to a percentage.
0.875 × 100 = 87.5%
So, 105/120 as a percent is 87.5%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.
105 ÷ 120 = 0.875
Step 2: Move the decimal point two places to the right to get the percentage.
0.875 becomes 87.5.
Step 3: Add a percent sign (%) to the result.
The final result is 87.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 105/120 is equal to x/100.
105/120 = x/100
Step 2: Cross-multiply to solve for x.
105 × 100 = 120 × x
10500 = 120x
Step 3: Divide both sides by 120 to solve for x.
x = 10500 ÷ 120 = 87.5
So, 105/120 as a percent is 87.5%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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