Question

write this decimal as a fraction in lowest terms. 0.15 = \frac{3}{?} enter the denominator.

Explanation:

Step1: Recall decimal to fraction conversion

0.15 can be written as $\frac{15}{100}$ because the decimal has two decimal places, so we put 15 over 100.

Step2: Simplify the fraction

We know that $\frac{15}{100}$ simplifies to $\frac{3}{x}$ (where x is the denominator we need to find). First, find the greatest common divisor (GCD) of 15 and 100. The GCD of 15 and 100 is 5. Divide both the numerator and the denominator by 5: $\frac{15\div5}{100\div5}=\frac{3}{20}$. So the denominator is 20.

Answer:

20