Question

lets find \\(\frac{2}{3} - \frac{1}{4}\\). first write the subtraction with a common denominator. then subtract. \\(\frac{2}{3} - \frac{1}{4} = \frac{\square}{\square} - \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Find common denominator (12)

The least common denominator of 3 and 4 is 12. Rewrite each fraction:
$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$, $\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$

Step2: Subtract the fractions

Substitute the rewritten fractions into the expression:
$\frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12}$

Answer:

$\frac{2}{3} - \frac{1}{4} = \frac{8}{12} - \frac{3}{12} = \frac{5}{12}$