Question

chip is a robot that follows commands to move on a number line. for each set of commands, help chip find its new location. command 3: start at $\frac{1}{3}$. move $\frac{1}{12}$ to the right. first, choose a common denominator for $\frac{1}{3}$ and $\frac{1}{12}$. 3 9 12 15

Explanation:

Step1: Identify common denominator

The common - denominator of 3 and 12 is 12 since 3×4 = 12 and 12×1 = 12.

Step2: Rewrite the first fraction with the common denominator

We rewrite $\frac{1}{3}$ as $\frac{1\times4}{3\times4}=\frac{4}{12}$.

Step3: Add the fractions

We start at $\frac{1}{3}$ (which is $\frac{4}{12}$) and move $\frac{1}{12}$ to the right. So, $\frac{4}{12}+\frac{1}{12}=\frac{4 + 1}{12}=\frac{5}{12}$.

Answer:

The new location of Chip is $\frac{5}{12}$, and the common denominator for $\frac{1}{3}$ and $\frac{1}{12}$ is 12. So the answer for the multiple - choice part is 12.