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 3 3/8 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number to an improper fraction: 3 3/8 = 27/8.
Step 2: Divide the numerator (27) by the denominator (8).
27 ÷ 8 = 3.375
Step 3: Multiply the result by 100 to convert to a percentage.
3.375 × 100 = 337.5%
So, 3 3/8 as a percent is 337.5%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed number to a decimal by first converting 3 3/8 to 3.375.
Step 2: Move the decimal point two places to the right to get the percentage.
3.375 becomes 337.5.
Step 3: Add a percent sign (%) to the result.
The final result is 337.5%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 27/8 is equal to x/100.
27/8 = x/100
Step 2: Cross-multiply to solve for x.
27 × 100 = 8 × x
2700 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 2700 ÷ 8 = 337.5
So, 3 3/8 as a percent is 337.5%.
Fraction to Percent Conversion Table
Fraction | Percent |
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