To convert a fraction to a percent, first convert the fraction to an improper fraction, then divide the numerator by the denominator to get a decimal, and finally multiply the result by 100. This gives the equivalent percentage of the fraction.
Convert the Fraction 1 3/10 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction \(1 \frac{3}{10}\) to an improper fraction.
\(1 \frac{3}{10} = \frac{10 + 3}{10} = \frac{13}{10}\)
Step 2: Divide the numerator (13) by the denominator (10).
13 ÷ 10 = 1.3
Step 3: Multiply the result by 100 to convert to a percentage.
1.3 × 100 = 130%
So, \(1 \frac{3}{10}\) as a percent is 130%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to a decimal.
1 + \( \frac{3}{10} \) = 1 + 0.3 = 1.3
Step 2: Multiply the decimal by 100 to get the percentage.
1.3 × 100 = 130
Step 3: Add a percent sign (%) to the result.
The final result is 130%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where \(1 \frac{3}{10}\) is equal to x/100.
\(\frac{13}{10} = \frac{x}{100}\)
Step 2: Cross-multiply to solve for x.
13 × 100 = 10 × x
1300 = 10x
Step 3: Divide both sides by 10 to solve for x.
x = 1300 ÷ 10 = 130
So, \(1 \frac{3}{10}\) as a percent is 130%.
Fraction to Percent Conversion Table
Fraction | Percent |
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