=Â $$3\frac{2}{7} + 14\frac{4}{9} + 5\frac{3}{9}$$
= $$\left(3+14+5\right)\left(\frac{2}{7}+\frac{4}{9}+\frac{3}{9}\right)$$
=Â $$22\left(\frac{2}{7}+\frac{7}{9}\right)$$
=Â $$22\left(\frac{18+49}{63}\right)$$
=Â $$22\left(\frac{67}{63}\right)$$
= $$23\left(\frac{4}{63}\right)$$
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