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 9/10 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed number to an improper fraction.
3 9/10 = (3 × 10 + 9)/10 = 39/10
Step 2: Divide the numerator (39) by the denominator (10).
39 ÷ 10 = 3.9
Step 3: Multiply the result by 100 to convert to a percentage.
3.9 × 100 = 390%
So, 3 9/10 as a percent is 390%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed number to an improper fraction as shown above.
3 9/10 = 39/10
Step 2: Divide the numerator by the denominator.
39 ÷ 10 = 3.9
Step 3: Move the decimal point two places to the right to get the percentage.
3.9 becomes 390.
Step 4: Add a percent sign (%) to the result.
The final result is 390%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 39/10 is equal to x/100.
39/10 = x/100
Step 2: Cross-multiply to solve for x.
39 × 100 = 10 × x
3900 = 10x
Step 3: Divide both sides by 10 to solve for x.
x = 3900 ÷ 10 = 390
So, 3 9/10 as a percent is 390%.
Fraction to Percent Conversion Table
Fraction | Percent |
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