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 8 2/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed number to an improper fraction.
8 2/5 = (8 × 5 + 2)/5 = 42/5
Step 2: Divide the numerator (42) by the denominator (5).
42 ÷ 5 = 8.4
Step 3: Multiply the result by 100 to convert to a percentage.
8.4 × 100 = 840%
The final result is 840%, which simplifies to 162% (when we combine the whole number part with the fraction).
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number to an improper fraction.
8 2/5 = 42/5
Step 2: Divide the numerator by the denominator.
42 ÷ 5 = 8.4
Step 3: Multiply the result by 100 to convert to a percentage.
8.4 × 100 = 840%
So, 8 2/5 as a percent is 840%. Simplifying gives us 162%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 42/5 is equal to x/100.
42/5 = x/100
Step 2: Cross-multiply to solve for x.
42 × 100 = 5 × x
4200 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 4200 ÷ 5 = 840
So, 8 2/5 as a percent is 840%, simplifying to 162%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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