Question

CALCULATE THE VALUE OF [-5/12] + 4/9 + 7/12 + -5/8

Answer 1

Step-by-step explanation:

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Answer 2

Answer :-

• The required answer is -1/72.

What to do?

Evaluate :-

• $\sf \dfrac{ - 5}{ \: \: 12} + \dfrac{4}{9} + \dfrac{7}{12} + \dfrac{ - 5}{ \: \: \: 8}$

Solution :-

$\tt \dfrac{ - 5}{ \: \: 12} + \dfrac{4}{9} + \dfrac{7}{12} + \dfrac{ - 5}{ \: \: \: 8}$

Finding the LCM of 12, 9, 12 and 8 by prime factorisation method,

$\begin{array}{c | c} \underline{2} & \underline{12, 9, 12, 8} \\ \underline2&\underline{6 ,9, 6, 4} \\ \underline3&\underline{3,9,3,2} \\\underline2&\underline{1,3,1,2} \\ \underline3&\underline{1,3,1,1} \\ &1,1,1,1\end{array}$

• The LCM of 12, 9, 12 and 8 is 72.

Now :-

$\tt \dfrac{( - 5 \times 6) + (4 \times 8) + (7 \times 6) + ( - 5 \times 9)}{72}$

$\tt\dfrac{- 30 + 32 + 42 - 45}{ \: \: 72}$

$\tt\dfrac{ - 1}{ \: 72}$

Thus :-

• The answer is -1/72.

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