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 5/8 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction (3 5/8) into an improper fraction.
3 5/8 = (3 × 8 + 5) / 8 = 29/8
Step 2: Divide the numerator (29) by the denominator (8).
29 ÷ 8 = 3.625
Step 3: Multiply the result by 100 to convert to a percentage.
3.625 × 100 = 362.5%
So, 3 5/8 as a percent is 362.5%.
Method 2: Convert Mixed Fraction to Decimal and Percent
Step 1: First, convert the fraction into a decimal.
3 5/8 = 3.625
Step 2: Move the decimal point two places to the right to get the percentage.
3.625 becomes 362.5.
Step 3: Add a percent sign (%) to the result.
The final result is 362.5%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the fraction (3 5/8) into an improper fraction: 29/8.
Step 2: Set up a proportion where 29/8 is equal to x/100.
29/8 = x/100
Step 3: Cross-multiply to solve for x.
29 × 100 = 8 × x
2900 = 8x
Step 4: Divide both sides by 8 to solve for x.
x = 2900 ÷ 8 = 362.5
So, 3 5/8 as a percent is 362.5%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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