What is 1 18/25 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number 1 18/25 into an improper fraction: 1 18/25 = 43/25.

Step 2: Divide the numerator (43) by the denominator (25).

43 ÷ 25 = 1.72

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

1.72 × 100 = 172%

Step 4: Add the whole number 1 to the result.

172% + 0.2% = 75.2%

So, 1 18/25 as a percent is 75.2%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to a decimal by dividing the numerator by the denominator.

1 ÷ 25 = 0.04

Step 2: Add the whole number (1) to the result.

1 + 0.72 = 1.72

Step 3: Multiply the result by 100 to get the percentage.

1.72 × 100 = 75.2%

The final result is 75.2%.

Method 3: Use Proportions to Find Percent

Step 1: Convert the mixed number into an improper fraction: 1 18/25 = 43/25.

Step 2: Set up a proportion where 43/25 is equal to x/100.

43/25 = x/100

Step 3: Cross-multiply to solve for x.

43 × 100 = 25 × x

4300 = 25x

Step 4: Divide both sides by 25 to solve for x.

x = 4300 ÷ 25 = 172%

The final result is 75.2%.