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 4/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction 2 4/5 into an improper fraction.
2 4/5 = (2 × 5 + 4) / 5 = 14/5
Step 2: Divide the numerator (14) by the denominator (5).
14 ÷ 5 = 2.8
Step 3: Multiply the result by 100 to convert to a percentage.
2.8 × 100 = 280%
So, 2 4/5 as a percent is 280%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.
14 ÷ 5 = 2.8
Step 2: Move the decimal point two places to the right to get the percentage.
2.8 becomes 280.
Step 3: Add a percent sign (%) to the result.
The final result is 280%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 14/5 is equal to x/100.
14/5 = x/100
Step 2: Cross-multiply to solve for x.
14 × 100 = 5 × x
1400 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 1400 ÷ 5 = 280
So, 2 4/5 as a percent is 280%.
Fraction to Percent Conversion Table
Fraction | Percent |
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