What is 1 9/1000 as a percent?

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

Convert the Fraction 1 9/1000 into Percent.

1 9/1000 as a percent is 0.901%

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed fraction \(1 \frac{9}{1000}\) to an improper fraction.

\(1 \frac{9}{1000} = \frac{1000 + 9}{1000} = \frac{1009}{1000}\)

Step 2: Divide the numerator (1009) by the denominator (1000).

1009 ÷ 1000 = 1.009

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

1.009 × 100 ≈ 100.9%

So, \(1 \frac{9}{1000}\) as a percent is approximately 100.9%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed fraction to a decimal.

1 + \( \frac{9}{1000} \) = 1 + 0.009 = 1.009

Step 2: Multiply the decimal by 100 to get the percentage.

1.009 × 100 ≈ 100.9

Step 3: Add a percent sign (%) to the result.

The final result is approximately 100.9%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where \(1 \frac{9}{1000}\) is equal to x/100.

\(\frac{1009}{1000} = \frac{x}{100}\)

Step 2: Cross-multiply to solve for x.

1009 × 100 = 1000 × x

100900 = 1000x

Step 3: Divide both sides by 1000 to solve for x.

x = 100900 ÷ 1000 = 100.9