Question

6
$6 \times2 \3 + 2 \times 1\3$
​

Answer 1

Answer:

$\sf\bold{\pink{\longmapsto\: 1)\: 2\dfrac{4}{16} + 3\dfrac{2}{4}}}$

$\implies \sf \dfrac{36}{12} + \dfrac{14}{4}$

$\implies \sf \dfrac{36 + 42}{12}$

$\implies \sf \dfrac{\cancel{78}}{\cancel{12}}$

$\implies \sf \dfrac{\cancel{26}}{\cancel{4}}$

$\implies \sf\bold{\red{\dfrac{13}{2}}}$

$\sf\boxed{\bold{\green{\therefore\: The\: value\: of\: 2\dfrac{4}{16} + 3\dfrac{2}{4}\: is\: \dfrac{13}{2}.}}}$

$\rule{150}{2}$

$\sf\bold{\pink{\longmapsto\: 2)\: 2\dfrac{6}{8} - 3\dfrac{2}{4}}}$

$\implies \sf \dfrac{22}{8} - \dfrac{14}{4}$

$\implies \sf \dfrac{22 - 28}{8}$

$\implies \sf \dfrac{- \cancel{6}}{\cancel{8}}$

$\implies \sf\bold{\red{\dfrac{- 3}{4}}}$

$\sf\boxed{\bold{\green{The\: value\: of\: 2\dfrac{6}{8} - 3\dfrac{2}{4}\: is\: \dfrac{- 3}{4}.}}}$

$\rule{150}{2}$

$\sf\bold{\pink{\longmapsto\: 3)\: 6\dfrac{2}{36} + 2\dfrac{1}{3}}}$

$\implies \sf \dfrac{218}{36} + \dfrac{7}{3}$

$\implies \sf \dfrac{218 + 84}{36}$

$\implies \sf \dfrac{\cancel{302}}{\cancel{36}}$

$\implies \sf\bold{\red{\dfrac{151}{18}}}$

$\sf\boxed{\bold{\green{\therefore\: The\: value\: of\: 6\dfrac{2}{36} + 2\dfrac{1}{3}\: is\: \dfrac{151}{18}.}}}$

$\rule{150}{2}$

$\sf\bold{\pink{\longmapsto\: 4)\: 4\dfrac{2}{64} + 2\dfrac{3}{8}}}$

$\implies \sf \dfrac{258}{64} + \dfrac{19}{8}$

$\implies \sf \dfrac{258 + 152}{64}$

$\implies \sf \dfrac{\cancel{410}}{\cancel{64}}$

$\implies \sf\bold{\red{\dfrac{205}{32}}}$

$\sf\boxed{\bold{\green{\therefore\: The\: value\: of\: 4\dfrac{2}{64} + 2\dfrac{3}{8}\: is\: \dfrac{205}{32}.}}}$

$\rule{150}{2}$

$\sf\bold{\pink{\longmapsto\: 5)\: 2\dfrac{2}{27} -3\dfrac{2}{3}}}$

$\implies \sf \dfrac{56}{27} - \dfrac{11}{3}$

$\implies \sf \dfrac{56 - 99}{27}$

$\implies \sf \dfrac{- 43}{27}$

$\implies \sf\bold{\red{\dfrac{- 43}{27}}}$

$\sf\boxed{\bold{\green{\therefore\: The\: value\: of\: 2\dfrac{2}{27} + 3\dfrac{2}{3}\: is\: \dfrac{- 43}{27}.}}}$

Answer 2

1) $2 \frac{4}{16} + 3 \frac{2}{4} \\ = \frac{36}{16} + \frac{14}{4} \\ = \frac{36 - 56}{16} \\ = \: - \frac{20}{16} \\ = - \frac{10}{8} \\ = - \frac{5}{4}$

$2 \frac{6}{8} - 3 \frac{2}{4} \\ = \frac{22}{8} - \frac{14}{4} \\ = \frac{22 - 28}{8} \\ = - \frac{4}{8} \\ = - \frac{1}{2}$

2) $6 \frac{2}{36} + 2 \frac{1}{3} \\ \\ \frac{218}{36} + \frac{7}{3} \\ \\ = \frac{218 + 84}{36} \\ = \frac{302}{36} \\ = \frac{151}{18}$