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 5 1/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed fraction to an improper fraction: (5 × 3 + 1)/3 = 16/3.
Step 2: Divide the numerator (16) by the denominator (3).
16 ÷ 3 = 5.33 (approximately)
Step 3: Multiply the result by 100 to convert to a percentage.
5.33 × 100 = 533.33%
So, 5 1/3 as a percent is 533.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction to an improper fraction: (5 × 3 + 1)/3 = 16/3.
Step 2: Divide the numerator (16) by the denominator (3) to convert to a decimal.
16 ÷ 3 = 5.33 (approximately)
Step 3: Move the decimal point two places to the right to get the percentage.
5.33 becomes 533.33.
Step 4: Add a percent sign (%) to the result.
The final result is 533.33%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 16/3 is equal to x/100.
16/3 = x/100
Step 2: Cross-multiply to solve for x.
16 × 100 = 3 × x
1600 = 3x
Step 3: Divide both sides by 3 to solve for x.
x = 1600 ÷ 3 ≈ 533.33
So, 5 1/3 as a percent is approximately 533.33%.
Fraction to Percent Conversion Table
| Fraction | Percent |
|---|