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 4 1/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number (4 1/3) into an improper fraction. The improper fraction is 13/3.
Step 2: Divide the numerator (13) by the denominator (3).
13 ÷ 3 = 4.3333
Step 3: Multiply the result by 100 to convert to a percentage.
4.3333 × 100 = 433.33%
So, 4 1/3 as a percent is 433.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number 4 1/3 into an improper fraction.
4 1/3 = 13/3
Step 2: Convert the improper fraction to a decimal by dividing the numerator by the denominator.
13 ÷ 3 = 4.3333
Step 3: Move the decimal point two places to the right to get the percentage.
4.3333 becomes 433.33.
Step 4: Add a percent sign (%) to the result.
The final result is 433.33%.
Method 3: Use Proportions to Find Percent
Step 1: Convert 4 1/3 to an improper fraction, which is 13/3.
Step 2: Set up a proportion where 13/3 is equal to x/100.
13/3 = x/100
Step 3: Cross-multiply to solve for x.
13 × 100 = 3 × x
1300 = 3x
Step 4: Divide both sides by 3 to solve for x.
x = 1300 ÷ 3 = 433.33
So, 4 1/3 as a percent is 433.33%.
Fraction to Percent Conversion Table
Fraction | Percent |
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