Question

simplify 5/12 + -5/18 -7/24
pls explain step by step​

Answer 1

Answer :-

$\sf \dfrac{5}{12} + \Big(\dfrac{-5}{18}\Big) + \Big(\dfrac{-7}{24}\Big)$

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$\sf = \dfrac{5}{12} - \dfrac{5}{18} - \dfrac{7}{24}$

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By Taking LCM :-

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$\sf = \dfrac{5 \times 6}{72} - \dfrac{5 \times 4}{72} - \dfrac{7 \times 3}{72}$

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$\sf = \dfrac{30}{72} - \dfrac{20}{72} - \dfrac{21}{72}$

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$\sf = \dfrac{30 - 20 - 21}{72}$

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$\sf = \dfrac{-11}{72}$

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$\boxed{\sf \frac{5}{12} + \Big(\frac{-5}{18}\Big) + \Big(\frac{-7}{24}\Big) = \frac{-11}{72}}$

Answer 2

$\underline{\bf{\dag} \:\mathfrak{Question\: :}}$

• Simplify 5/12 + -5/18 -7/24

$\underline{\bf{\dag} \:\mathfrak{Solution\: :}}$

$\sf \: \frac{5}{12} + \frac{ (- 5)}{18} - \frac{7}{24} \: \\ \\ \sf By \: taking \: the \: LCM \: of \: denominators \: \\ \\ \implies \sf \frac{30 + (- 20) - 21}{72} \\ \\ \sf \implies \: \frac{10 - 21}{72} \\ \\ \implies \bold {\frac{ - 11}{72}}$

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