Question

3 what is the difference between \\(\frac{5}{6}\\) and \\(\frac{1}{4}\\)? show your work.

Explanation:

Step1: Find a common denominator

The denominators are 6 and 4. The least common denominator (LCD) of 6 and 4 is 12.

Step2: Rewrite the fractions with the LCD

For $\frac{5}{6}$, multiply numerator and denominator by 2: $\frac{5\times2}{6\times2}=\frac{10}{12}$
For $\frac{1}{4}$, multiply numerator and denominator by 3: $\frac{1\times3}{4\times3}=\frac{3}{12}$

Step3: Subtract the fractions

Subtract the numerators: $\frac{10}{12}-\frac{3}{12}=\frac{10 - 3}{12}=\frac{7}{12}$

Answer:

$\frac{7}{12}$