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 3/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed fraction (8 3/5) into an improper fraction.
8 3/5 = (8 × 5 + 3)/5 = 43/5
Step 2: Divide the numerator (43) by the denominator (5).
43 ÷ 5 = 8.6
Step 3: Multiply the result by 100 to convert to a percentage.
8.6 × 100 = 860%
So, 8 3/5 as a percent is 860%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction to an improper fraction.
8 3/5 = 43/5
Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.
43 ÷ 5 = 8.6
Step 3: Move the decimal point two places to the right to get the percentage.
8.6 becomes 860.
Step 4: Add a percent sign (%) to the result.
The final result is 860%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 43/5 is equal to x/100.
43/5 = x/100
Step 2: Cross-multiply to solve for x.
43 × 100 = 5 × x
4300 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 4300 ÷ 5 = 860
So, 8 3/5 as a percent is 860%.
Fraction to Percent Conversion Table
Fraction | Percent |
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