To convert a fraction to a percent, first convert the whole number and the fraction separately, then add the results for the final percentage.
Convert the Fraction 3 3/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the whole number 3 to a percent by multiplying it by 100.
3 × 100 = 300%
Step 2: Convert the fraction part (3/5) to a percent.
3 ÷ 5 = 0.6, then 0.6 × 100 = 60%
Step 3: Add both results to get the final percentage.
300% + 60% = 360%
So, 3 3/5 as a percent is 360%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed fraction to a decimal. Convert the whole number and the fraction.
3 3/5 = 3 + (3 ÷ 5) = 3.6
Step 2: Multiply the decimal by 100 to get the percentage.
3.6 × 100 = 360%
So, 3 3/5 as a percent is 360%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 3 3/5 is equal to x/100.
3 3/5 = 18/5, so 18/5 = x/100
Step 2: Cross-multiply to solve for x.
18 × 100 = 5 × x
1800 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 1800 ÷ 5 = 360
So, 3 3/5 as a percent is 360%.
Fraction to Percent Conversion Table
Fraction | Percent |
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