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 2 1/8 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed number into an improper fraction. 2 1/8 = 17/8.
Step 2: Divide the numerator (17) by the denominator (8).
17 ÷ 8 = 2.125
Step 3: Multiply the result by 100 to convert to a percentage.
2.125 × 100 = 212.5%
So, 2 1/8 as a percent is 212.5%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed number to a decimal.
2 1/8 = 2 + 1/8 = 2.125
Step 2: Multiply the decimal by 100 to get the percentage.
2.125 × 100 = 212.5%
The final result is 212.5%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the mixed number to an improper fraction. 2 1/8 = 17/8.
Step 2: Set up a proportion where 17/8 is equal to x/100.
17/8 = x/100
Step 3: Cross-multiply to solve for x.
17 × 100 = 8 × x
1700 = 8x
Step 4: Divide both sides by 8 to solve for x.
x = 1700 ÷ 8 = 212.5
So, 2 1/8 as a percent is 212.5%.
Fraction to Percent Conversion Table
Fraction | Percent |
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