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 7 1/9 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed fraction to an improper fraction.
7 1/9 = (7 × 9 + 1) / 9 = 64/9
Step 2: Divide the numerator (64) by the denominator (9).
64 ÷ 9 ≈ 7.11
Step 3: Multiply the result by 100 to convert to a percentage.
7.11 × 100 ≈ 711.11%
So, 7 1/9 as a percent is approximately 78.89%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed fraction to an improper fraction.
7 1/9 = (7 × 9 + 1) / 9 = 64/9
Step 2: Divide the numerator by the denominator to get the decimal.
64 ÷ 9 ≈ 7.11
Step 3: Move the decimal point two places to the right to get the percentage.
7.11 becomes 711.11.
Step 4: Add a percent sign (%) to the result.
The final result is approximately 78.89%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the mixed fraction to an improper fraction.
7 1/9 = (7 × 9 + 1) / 9 = 64/9
Step 2: Set up a proportion where 64/9 is equal to x/100.
64/9 = x/100
Step 3: Cross-multiply to solve for x.
64 × 100 = 9 × x
6400 = 9x
Step 4: Divide both sides by 9 to solve for x.
x = 6400 ÷ 9 ≈ 711.11
So, 7 1/9 as a percent is approximately 78.89%.
Fraction to Percent Conversion Table
Fraction | Percent |
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