What is the equivalent of 0.09 as a fraction? Please answer.
The Correct Answer and Explanation is:
To express 0.09 as a fraction, follow these steps:
Step 1: Recognize the Decimal Place
The decimal 0.09 has two digits after the decimal point. This means it is the same as 9 hundredths, or 9100\frac{9}{100}1009.
Step 2: Express as a Fraction
So, 0.09 can be directly written as:0.09=91000.09 = \frac{9}{100}0.09=1009
Step 3: Simplify the Fraction (if possible)
Next, check if the fraction can be simplified. To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 9 and 100 is 1, meaning 9100\frac{9}{100}1009 cannot be simplified further.
Final Answer:
Therefore, the fraction equivalent of 0.09 is:9100\frac{9}{100}1009
Explanation:
In this case, 0.09 represents a value where 9 is in the hundredths place. Any decimal with two places after the decimal point can be written as a fraction where the numerator is the digits to the right of the decimal, and the denominator is 100, as 100 represents two decimal places.
Thus, 0.09 is simply 9 out of 100 parts, or 9100\frac{9}{100}1009. There is no need for further conversion or reduction because 9 and 100 are coprime, meaning their only common factor is 1. Therefore, this fraction is in its simplest form.
