Question

Evaluate the following : (-12/-5)+(7/-3)+(-5/14)+(22/7)

Answer 1

To evaluate : $(\frac{-12}{-5} )+(\frac{7}{-3} ) +( \frac{-5}{14} )+ (\frac{22}{7} )$

Solution  :

• To find the sum of given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM
• Therefore, LCM = $210$
• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.
• Therefore, we get,
• $(\frac{-12}{-5} )+( \frac{7}{-3} )+(\frac{-5}{14}) +(\frac{22}{7} )= (\frac{-12\times42}{-210} )+(\frac{7\times 70 }{-210} )+(\frac{-5\times 15}{210}) + (\frac{22\times 30}{210})$

                                        $= (\frac{-504}{-210}) +( \frac{490}{-210}) + (\frac{-75}{210}) + (\frac{660}{210} )\\\\= \frac{504 -490 -75 +660}{210} \\\\=\frac{599}{210}$

Hence, on evaluating given expression we get  $\frac{599}{210}$ .