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

The least common denominator of 3 and 4 is 12. Rewrite fractions: $\frac{2}{3}=\frac{2\times4}{3\times4}=\frac{8}{12}$, $\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}$

Step2: Subtract numerators

Subtract: $\frac{8}{12}-\frac{3}{12}=\frac{8 - 3}{12}=\frac{5}{12}$

Answer:

$\frac{2}{3}-\frac{1}{4}=\frac{8}{12}-\frac{3}{12}=\frac{5}{12}$ (The boxes are filled with 8, 12, 3, 12, 5, 12 respectively)