1.

1). \(1\frac{{65}}{{84}}\)2). \(8\frac{1}{{84}}\)3). \(2\frac{{79}}{{84}}\)4). \(5\frac{{47}}{{84}}\)

Answer»

We have the expression

$(\begin{array}{l} 3\frac{6}{7} - 6\frac{1}{4} + 5\frac{1}{3} = ?\\ \Rightarrow \frac{{21\; + \;6}}{7} - \frac{{24\; + \;1}}{4} + \frac{{15\; + \;1}}{3} = ?\\ \Rightarrow \frac{{27}}{7} - \frac{{25}}{4} + \frac{{16}}{3} = ? \end{array})$

LCM of 7, 4 and 3 is 84

$(\begin{array}{l} \Rightarrow \frac{{27\; \times 12}}{{84}} - \frac{{25\; \times 21}}{{84}} + \frac{{16\; \times 28}}{{84}} = ?\\ \Rightarrow \frac{{324 - 525 + 448}}{{84}} = ? \end{array})$

⇒ ? = 247/84

$(\Rightarrow ?{\rm{\;}} = {\rm{\;}}2\frac{{79}}{{84}})$


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