Question

Express as a single fraction.
$5 \frac{1}{3} - 1 \frac{11}{12} + 3 \frac{2}{9}$
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Answer 1

Step-by-step explanation:

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-Express as a single fraction.

$5 \frac{1}{3} - 1 \frac{11}{12} + 3 \frac{2}{9}$

$\huge\tt\underline\blue{Answer }$

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$⟹</p><p>5 \frac{1}{3} - 1 \frac{11}{12} + 3 \frac{2}{9}$

$⟹ \frac{5 \times 3 + 1}{3} - \frac{12 \times 1 + 11}{12} + \frac{9 \times 3 + 2}{9} </p><p>$

$⟹</p><p> \frac{16}{3} - \frac{23}{12} + \frac{29}{9}$

L.C.M OF 3,12&9 IS 36

$⟹ \frac{12 \times 16}{36} - \frac{23 \times 3}{36} + \frac{29 \times 4}{36} </p><p>$

$⟹ \frac{192 - 69 + 116}{36} = \frac{239}{36} = 126.22</p><p>$

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Answer 2

Answer:

$Q:-Express as a single fraction.</p><p></p><p>5 \frac{1}{3} - 1 \frac{11}{12} + 3 \frac{2}{9}5 </p><p>3</p><p>1</p><p> </p><p> −1 </p><p>12</p><p>11</p><p> </p><p> +3 </p><p>9</p><p>2</p><p> </p><p> </p><p></p><p>\huge\tt\underline\blue{Answer } </p><p>Answer</p><p> </p><p> </p><p></p><p>_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️</p><p></p><p>════════════XXX═════════════</p><p></p><p>⟹ 5 \frac{1}{3} - 1 \frac{11}{12} + 3 \frac{2}{9}⟹5 </p><p>3</p><p>1</p><p> </p><p> −1 </p><p>12</p><p>11</p><p> </p><p> +3 </p><p>9</p><p>2</p><p> </p><p> </p><p></p><p>⟹ \frac{5 \times 3 + 1}{3} - \frac{12 \times 1 + 11}{12} + \frac{9 \times 3 + 2}{9}⟹ </p><p>3</p><p>5×3+1</p><p> </p><p> − </p><p>12</p><p>12×1+11</p><p> </p><p> + </p><p>9</p><p>9×3+2</p><p> </p><p> </p><p></p><p>⟹ \frac{16}{3} - \frac{23}{12} + \frac{29}{9}⟹ </p><p>3</p><p>16</p><p> </p><p> − </p><p>12</p><p>23</p><p> </p><p> + </p><p>9</p><p>29</p><p> </p><p> </p><p></p><p>L.C.M OF 3,12&9 IS 36</p><p></p><p>⟹ \frac{12 \times 16}{36} - \frac{23 \times 3}{36} + \frac{29 \times 4}{36}⟹ </p><p>36</p><p>12×16</p><p> </p><p> − </p><p>36</p><p>23×3</p><p> </p><p> + </p><p>36</p><p>29×4</p><p> </p><p> </p><p></p><p>⟹ \frac{192 - 69 + 116}{36} = \frac{239}{36} = 126.22⟹ </p><p>36</p><p>192−69+116</p><p> </p><p> = </p><p>36</p><p>239</p><p> </p><p> =126.22$

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