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{4}{12}\\). move \\(\frac{3}{12}\\) to the left.
complete the equation to show chips new location.
\\(\frac{1}{3} - \frac{1}{4} = \frac{4}{12} - \frac{3}{12}\\)
\\(= \frac{?}{?}\\)

Explanation:

Step1: Find common denominator

Common denominator of 3 and 4 is 12.

Step2: Rewrite fractions as twelfths

$\frac{1}{3} = \frac{1×4}{3×4} = \frac{4}{12}$, $\frac{1}{4} = \frac{1×3}{4×3} = \frac{3}{12}$

Step3: Calculate new location

$\frac{4}{12} - \frac{3}{12} = \frac{1}{12}$

Answer:

12; $\frac{1}{3} = \frac{4}{12}$, $\frac{1}{4} = \frac{3}{12}$; $\frac{1}{12}$