To convert a fraction to a percent, first convert to an improper fraction, then divide the numerator by the denominator to get a decimal, and finally multiply the result by 100 to find the percentage.
Convert the Fraction 1 5/6 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert 1 5/6 to an improper fraction.
1 5/6 = (1 × 6 + 5)/6 = 11/6
Step 2: Divide the numerator (11) by the denominator (6).
11 ÷ 6 ≈ 1.8333
Step 3: Multiply the result by 100 to convert to a percentage.
1.8333 × 100 ≈ 183.33%
So, 1 5/6 as a percent is approximately 183.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert to an improper fraction.
1 5/6 = 11/6
Step 2: Divide the numerator by the denominator.
11 ÷ 6 ≈ 1.8333
Step 3: Multiply by 100 to get the percentage.
1.8333 × 100 ≈ 183.33%
The final result is approximately 183.33%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 11/6 is equal to x/100.
11/6 = x/100
Step 2: Cross-multiply to solve for x.
11 × 100 = 6 × x
1100 = 6x
Step 3: Divide both sides by 6 to solve for x.
x = 1100 ÷ 6 ≈ 183.33
So, 1 5/6 as a percent is approximately 183.33%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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