Question

subtract.
\\(\frac{2}{3} - \frac{1}{6} = \square\\)
use the model to help you.
\\(\

$$\begin{array}{c}\ \\text{ } - \\begin{array}{|c|}\\hline \\frac{1}{6}\\\\ \\hline \\end{array}$$

\\\\\
\

$$\begin{array}{|c|c|}\\hline \\frac{1}{3} & \\frac{1}{3}\\\\ \\hline \\end{array}$$

\\\\\
\end{array}\\)

Explanation:

Step1: Find common denominator

The least common denominator of 3 and 6 is 6. Rewrite $\frac{2}{3}$ as an equivalent fraction with denominator 6:
$\frac{2}{3} = \frac{2\times2}{3\times2} = \frac{4}{6}$

Step2: Subtract the fractions

Subtract the numerators while keeping the denominator the same:
$\frac{4}{6} - \frac{1}{6} = \frac{4-1}{6} = \frac{3}{6}$

Step3: Simplify the result

Reduce the fraction to its simplest form by dividing numerator and denominator by their greatest common divisor (3):
$\frac{3}{6} = \frac{3\div3}{6\div3} = \frac{1}{2}$

Answer:

$\frac{1}{2}$