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 4: start at $\frac{1}{5}$. move $\frac{1}{10}$ to the right. first, choose a common denominator for $\frac{1}{5}$ and $\frac{1}{10}$. 15 10 5 2

Explanation:

Step1: Find common denominator

The common - denominator of 5 and 10 is 10.

Step2: Rewrite the first fraction

Rewrite $\frac{1}{5}$ with a denominator of 10. Since $5\times2 = 10$, then $\frac{1}{5}=\frac{1\times2}{5\times2}=\frac{2}{10}$.

Step3: Add the fractions

We start at $\frac{1}{5}$ (which is $\frac{2}{10}$) and move $\frac{1}{10}$ to the right. So, $\frac{2}{10}+\frac{1}{10}=\frac{2 + 1}{10}=\frac{3}{10}$.

Answer:

$\frac{3}{10}$