To convert a fraction to a percent, first convert it to an improper fraction, 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 1/5 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction 7 1/5 to an improper fraction.
7 1/5 = (7 × 5 + 1)/5 = 36/5
Step 2: Divide the numerator (36) by the denominator (5).
36 ÷ 5 = 7.2
Step 3: Multiply the result by 100 to convert to a percentage.
7.2 × 100 = 720%
So, 7 1/5 as a percent is 720%.
Method 2: Convert to Decimal and Then Percent
Step 1: First, convert the fraction to an improper fraction.
7 1/5 = 36/5
Step 2: Divide the numerator by the denominator to get the decimal.
36 ÷ 5 = 7.2
Step 3: Move the decimal point two places to the right to get the percentage.
7.2 becomes 720.
Step 4: Add a percent sign (%) to the result.
The final result is 720%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 36/5 is equal to x/100.
36/5 = x/100
Step 2: Cross-multiply to solve for x.
36 × 100 = 5 × x
3600 = 5x
Step 3: Divide both sides by 5 to solve for x.
x = 3600 ÷ 5 = 720
So, 7 1/5 as a percent is 720%.
Fraction to Percent Conversion Table
Fraction | Percent |
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