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 2 5/8 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number to an improper fraction.
2 5/8 = (2 × 8 + 5) / 8 = 21/8
Step 2: Divide the numerator (21) by the denominator (8).
21 ÷ 8 = 2.625
Step 3: Multiply the result by 100 to convert to a percentage.
2.625 × 100 = 262.5%
So, 2 5/8 as a percent is 262.5%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number to an improper fraction (21/8).
21 ÷ 8 = 2.625
Step 2: Move the decimal point two places to the right to get the percentage.
2.625 becomes 262.5.
Step 3: Add a percent sign (%) to the result.
The final result is 262.5%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the mixed number to an improper fraction (21/8).
Set up a proportion where 21/8 is equal to x/100.
21/8 = x/100
Step 2: Cross-multiply to solve for x.
21 × 100 = 8 × x
2100 = 8x
Step 3: Divide both sides by 8 to solve for x.
x = 2100 ÷ 8 = 262.5
So, 2 5/8 as a percent is 262.5%.
Fraction to Percent Conversion Table
| Fraction | Percent |
|---|