Simplify:42 3 +31 4 +71 2 - Vidyadip

Question

Simplify:$4\frac{2}{3}+3\frac{1}{4}+7\frac{1}{2}$

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Answer

Given: $4\frac{2}{3}+3\frac{1}{4}+7\frac{1}{2}$$=\frac{4\times3+2}{3}+\frac{3\times4+1}{4}+\frac{7\times2+1}{2}$
$=\frac{14}{3}+\frac{13}{4}+\frac{15}{2}$
$=\frac{14\times4}{3\times4}+\frac{13\times3}{4\times3}+\frac{15\times6}{2\times6}$ (because LCM of 3, 4 and 2 is 12)
$=\frac{56}{12}+\frac{39}{12}+\frac{90}{12}$
$=\frac{56+39+90}{12}$
$=\frac{185}{12}$

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