Question

simplify : -9/2+(-8/3)+11/6​

Answer 1

Answer:

11/6+[8/3-{15/4(19/5÷19/19)}]

11/6+[8/3-{15/4*19/5}]

11/6+[8/3-{57/4}]

11/6+[8/3-57/4]

11/6+[-25/12]

22/12-25/12

=-3/12

=-1/4

Answer 2

$\huge\underline\mathsf\color {purple}{Question} \: :$

Simplify –$\frac{ - 9}{2} + (\frac{ - 8}{3}) + \frac{11}{6}$

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$\huge\underline\mathsf\color {green}{Solution} \: :$

• Basically simplifying here, is to add up the fractions.
• To add up these fractions, we need to make their denominators same.

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★ LCM of 2, 3 and 6 = 2×3 = 6

Making denominators same we get,

1. $\frac{-9}{2} \times \frac{3}{3} = \frac{-27}{6}$
2. $\frac{ - 8}{3} \times \frac{2}{2} = \frac{ - 16}{6}$
3. $\frac{11}{6} \times 1 = \frac{11}{6}$

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→ Adding them up, we get –

$\frac{-27}{6} - \frac{16}{6} + \frac{11}{6} \\ \\ \implies \frac{-27 - 16 + 11}{6} \\ \\ \implies \frac{-27 + 11 - 16}{6} \\ \\ \implies \frac{-32}{6} \\ \\ \implies { \huge\not}{\frac{-32}{6}}= \frac{-16}{3}$

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$\boxed{ \red{∴ \: \frac{-9}{2}+(\frac{ - 8}{3})+\frac{11}{6} = \frac{-16}{3} }}$

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