Question

what is a common denominator for $\frac{1}{3}$ and $\frac{1}{4}$?
12
rewrite the command to show how many twelfths are in each fraction.
new command 1: start at $\frac{?}{12}$. move $\frac{?}{12}$ to the left.

Explanation:

Step1: Convert $\frac{1}{3}$ to twelfths

Multiply numerator and denominator by 4: $\frac{1 \times 4}{3 \times 4} = \frac{4}{12}$

Step2: Convert $\frac{1}{4}$ to twelfths

Multiply numerator and denominator by 3: $\frac{1 \times 3}{4 \times 3} = \frac{3}{12}$

Step3: Identify start value

From the number line, the marked start point is $\frac{4}{12}$ (which is $\frac{1}{3}$).

Step4: Identify move value

The fraction to subtract is $\frac{3}{12}$ (which is $\frac{1}{4}$).

Answer:

1. Common denominator: 12
2. Converted fractions: $\frac{1}{3} = \frac{4}{12}$, $\frac{1}{4} = \frac{3}{12}$
3. New Command 1: Start at $\frac{4}{12}$. Move $\frac{3}{12}$ to the left.