What is 4 1/3 as a percent?

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.

4 1/3 as a percent is 433.33%

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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