Question

Simplify:

$8\frac{1}{4}-2\frac{5}{6}$

Answer 1

According to the question,

⇒$8\frac{1}{4}-2\frac{5}{6}$

Convert mixed fractions to improper fractions

$$\begin{gathered} \Rightarrow 8\frac{1}{4}=\frac{(8\times 4)+1}{4}=\frac{33}{4} \\ \Rightarrow 2\frac{5}{6}=\frac{(6\times 2)+5}{6}=\frac{17}{6} \end{gathered}$$

Now,

$\Rightarrow \frac{33}{4}-\frac{17}{6}$

LCM of 4 and 6 is "$12$"

$$\begin{gathered} \Rightarrow \frac{33\times 3}{4\times 3}-\frac{17\times 2}{6\times 2} \\ \Rightarrow \frac{99}{12}-\frac{34}{12} \\ \Rightarrow \frac{99-34}{12} \\ \Rightarrow \frac{65}{12} \end{gathered}$$

Convert improper fraction to mixed fraction:

⇒$12565-60----05$

⇒$\frac{66}{12}=5\frac{5}{12}$

Hence, the difference of $8\frac{1}{4}-2\frac{5}{6}$ is $5\frac{5}{12.}$