What is 1 3/8 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number 1 3/8 into an improper fraction.

1 3/8 = (8 + 3) / 8 = 11/8

Step 2: Divide the numerator (11) by the denominator (8).

11 ÷ 8 = 1.375

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

1.375 × 100 = 137.5%

So, 1 3/8 as a percent is 137.5%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number 1 3/8 into an improper fraction.

1 3/8 = 11/8

Step 2: Convert the fraction 11/8 to a decimal by dividing the numerator by the denominator.

11 ÷ 8 = 1.375

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

1.375 becomes 137.5.

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

The final result is 137.5%.

Method 3: Use Proportions to Find Percent

Step 1: Convert 1 3/8 into an improper fraction: 11/8.

Step 2: Set up a proportion where 11/8 is equal to x/100.

11/8 = x/100

Step 3: Cross-multiply to solve for x.

11 × 100 = 8 × x

1100 = 8x

Step 4: Divide both sides by 8 to solve for x.

x = 1100 ÷ 8 = 137.5

So, 1 3/8 as a percent is 137.5%.