Question

Mark the correct alternative in each of the following:

$\left(5\frac{1}{4}-3\frac{1}{3}\right)=$

(a) $\frac{12}{23}$ (b) 2 (c) $1\frac{11}{12}$ (d) $\frac{11}{12}$

Answer 1

$$\begin{gathered} 5\frac{1}{4}-3\frac{1}{3} \\ =\frac{21}{4}-\frac{10}{3} \\ =\frac{21\times 3}{4\times 3}-\frac{10\times 4}{3\times 4}\left(\mathrm{LCM}\mathrm{of}3\mathrm{and}4\mathrm{is}12\right) \\ =\frac{63}{12}-\frac{40}{12} \end{gathered}$$
$$\begin{gathered} =\frac{63-40}{12} \\ =\frac{23}{12} \\ =1\frac{11}{12} \end{gathered}$$

Hence, the correct answer is option (c).