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 1 2/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction 1 2/3 to an improper fraction.
1 2/3 = (3 + 2)/3 = 5/3
Step 2: Divide the numerator (5) by the denominator (3).
5 ÷ 3 = 1.6667
Step 3: Multiply the result by 100 to convert to a percentage.
1.6667 × 100 = 166.67%
So, 1 2/3 as a percent is 166.67%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction 1 2/3 to a decimal by dividing the numerator by the denominator.
5 ÷ 3 = 1.6667
Step 2: Move the decimal point two places to the right to get the percentage.
1.6667 becomes 166.67.
Step 3: Add a percent sign (%) to the result.
The final result is 166.67%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 5/3 is equal to x/100.
5/3 = x/100
Step 2: Cross-multiply to solve for x.
5 × 100 = 3 × x
500 = 3x
Step 3: Divide both sides by 3 to solve for x.
x = 500 ÷ 3 = 166.67
So, 1 2/3 as a percent is 166.67%.
Fraction to Percent Conversion Table
Fraction | Percent |
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