What is 1 3/10 as a percent?

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.

1 3/10 as a percent is 130%

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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