To convert a fraction to a percent, first convert it to an improper fraction, then divide the numerator by the denominator to get a decimal, and finally multiply the result by 100. This gives the equivalent percentage of the fraction.
Convert the Fraction 4 3/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction 4 3/5 to an improper fraction.
4 3/5 = (4 × 5 + 3)/5 = 23/5
Step 2: Divide the numerator (23) by the denominator (5).
23 ÷ 5 = 4.6
Step 3: Multiply the result by 100 to convert to a percentage.
4.6 × 100 = 460%
So, 4 3/5 as a percent is 460%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the fraction to an improper fraction: 4 3/5 = 23/5.
Step 2: Divide the numerator by the denominator to get the decimal.
23 ÷ 5 = 4.6
Step 3: Move the decimal point two places to the right to get the percentage.
4.6 becomes 460.
Step 4: Add a percent sign (%) to the result.
The final result is 460%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 23/5 is equal to x/100.
23/5 = x/100
Step 2: Cross-multiply to solve for x.
23 × 100 = 5 × x
2300 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 2300 ÷ 5 = 460
So, 4 3/5 as a percent is 460%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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