Question

chip is a robot that follows commands to move on a number line. this time, the commands include fractions with denominators that are not multiples of each other. for each set of commands, help chip find its new location. command 3: start at \\(\frac{1}{4}\\). move \\(\frac{1}{9}\\) to the left. first, choose a common denominator for \\(\frac{1}{4}\\) and \\(\frac{1}{9}\\). 4 9 36 45

Explanation:

Step1: Identify start and movement

Start at $\frac{1}{4}$, move left $\frac{1}{9}$ (subtract $\frac{1}{9}$)

Step2: Find common denominator

LCM of 4 and 9 is 36

Step3: Convert fractions

$\frac{1}{4} = \frac{9}{36}$, $\frac{1}{9} = \frac{4}{36}$

Step4: Calculate new location

$\frac{9}{36} - \frac{4}{36} = \frac{5}{36}$

Answer:

$\frac{5}{36}$