What is 1 9/40 as a percent?

To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.

Convert the Fraction 1 9/40 into Percent.

1 9/40 as a percent is 2.25%.

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number to an improper fraction: (1 * 40 + 9) / 40 = 49/40.

Step 2: Divide the numerator (49) by the denominator (40).

49 ÷ 40 = 1.225.

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

1.225 × 100 = 122.5%

So, 1 9/40 as a percent is 122.5%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to an improper fraction: (1 * 40 + 9) / 40 = 49/40.

Step 2: Divide the numerator by the denominator.

49 ÷ 40 = 1.225.

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

1.225 becomes 122.5.

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

The final result is 122.5%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 49/40 is equal to x/100.

49/40 = x/100.

Step 2: Cross-multiply to solve for x.

49 × 100 = 40 × x.

4900 = 40x.

Step 3: Divide both sides by 40 to solve for x.

x = 4900 ÷ 40 = 122.5.