What is 2 7/10 as a percent?

To convert a mixed number 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 mixed number.

Convert the Fraction 2 7/10 into Percent.

2 7/10 as a percent is 270%

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number to an improper fraction: \(2 \frac{7}{10} = \frac{2 \times 10 + 7}{10} = \frac{27}{10}\).

Step 2: Divide the numerator (27) by the denominator (10).

27 ÷ 10 = 2.7

Step 3: Multiply the result by 100 to convert to a percentage.

2.7 × 100 = 270%

So, \(2 \frac{7}{10}\) as a percent is 270%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to a decimal: \(2 \frac{7}{10} = 2 + 0.7 = 2.7\).

Step 2: Move the decimal point two places to the right to get the percentage.

2.7 becomes 270.

Step 3: Add a percent sign (%) to the result.

The final result is 270%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where the Fraction \(2 \frac{7}{10} = \frac{27}{10}\) is equal to \(x/100\).

\( \frac{27}{10} = \frac{x}{100} \)

Step 2: Cross-multiply to solve for x.

27 × 100 = 10 × x

2700 = 10x

Step 3: Divide both sides by 10 to solve for x.

x = 2700 ÷ 10 = 270