What is 1 2/5 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number 1 2/5 into an improper fraction.

1 2/5 = (1 × 5 + 2)/5 = 7/5

Step 2: Divide the numerator (7) by the denominator (5).

7 ÷ 5 = 1.4

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

1.4 × 100 = 140%

So, 1 2/5 as a percent is 140%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number 1 2/5 into an improper fraction.

1 2/5 = 7/5

Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.

7 ÷ 5 = 1.4

Step 3: Move the decimal point two places to the right to get the percentage.

1.4 becomes 140.

Step 4: Add a percent sign (%) to the result.

The final result is 140%.

Method 3: Use Proportions to Find Percent

Step 1: Convert the mixed number 1 2/5 into an improper fraction.

1 2/5 = 7/5

Step 2: Set up a proportion where 7/5 is equal to x/100.

7/5 = x/100

Step 3: Cross-multiply to solve for x.

7 × 100 = 5 × x

700 = 5x

Step 4: Divide both sides by 5 to solve for x.

x = 700 ÷ 5 = 140

So, 1 2/5 as a percent is 140%.