What is 1 2/20 as a percent?

To convert a fraction to a percent, first convert the fraction to an improper fraction, then divide the numerator by the denominator to get a decimal, and finally multiply the result by 100 to obtain the equivalent percentage.

Convert the Fraction 1 2/20 into Percent.

1 2/20 as a percent is 6%

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the fraction 1 2/20 into an improper fraction. This gives:

(1 × 20 + 2) / 20 = 22/20

Step 2: Divide the numerator (22) by the denominator (20).

22 ÷ 20 = 1.1

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

1.1 × 100 = 110%

So, 1 2/20 as a percent is 110%.

Method 2: Convert to Decimal and Then Percent

Step 1: First, convert the mixed fraction to an improper fraction as shown earlier:

1 2/20 = 22/20

Step 2: Divide the numerator by the denominator.

22 ÷ 20 = 1.1

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

1.1 becomes 110.

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

The final result is 110%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 22/20 is equal to x/100.

22/20 = x/100

Step 2: Cross-multiply to solve for x.

22 × 100 = 20 × x

2200 = 20x

Step 3: Divide both sides by 20 to solve for x.

x = 2200 ÷ 20 = 110