To convert a mixed fraction to a percent, first convert the mixed fraction into an improper fraction. Then, divide the numerator by the denominator to get a decimal, and multiply the result by 100 to get the equivalent percentage of the fraction.
Convert the Fraction 4 4/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed fraction (4 4/5) to an improper fraction: 4 4/5 = 24/5.
Step 2: Divide the numerator (24) by the denominator (5).
24 ÷ 5 = 4.8
Step 3: Multiply the result by 100 to convert to a percentage.
4.8 × 100 = 480%
So, 4 4/5 as a percent is 480%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction (4 4/5) to an improper fraction: 4 4/5 = 24/5.
Step 2: Convert the improper fraction to a decimal by dividing the numerator by the denominator.
24 ÷ 5 = 4.8
Step 3: Move the decimal point two places to the right to get the percentage.
4.8 becomes 480.
Step 4: Add a percent sign (%) to the result.
The final result is 480%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the mixed fraction (4 4/5) to an improper fraction: 4 4/5 = 24/5.
Step 2: Set up a proportion where 24/5 is equal to x/100.
24/5 = x/100
Step 3: Cross-multiply to solve for x.
24 × 100 = 5 × x
2400 = 5x
Step 4: Divide both sides by 5 to solve for x.
x = 2400 ÷ 5 = 480
So, 4 4/5 as a percent is 480%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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