Simplify:

((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2)) (2 marks)

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Solution

Given ((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2))

((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2)) = (-195/18) + (56/15) + (3/10)

= (-65/6) + (56/15) + (3/10)

= (-65/6) × (5/5) + (56/15) × (2/2) + (3/10) × (3/3).

= (-325/30) + (112/30) + (9/30)

(1 mark)

= (-325 + 112 + 9)/30

= (-204/30)

= (-34/5)

(1 mark)

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Similar questions

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. Simplify:

(1) (−8) + (−3)
(2) 13 − 15
(3) 6 − (−19)
(4) 10 + (−7)

Simplify:

((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2))

simplify- 4/8 + 6/24 - 12/4 + 9/12 (13/9x-15/2) - (7/3x8/5) + (3/5x1/2)

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Simplify: ((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2)) (2 marks)

Simplify:

((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2)) (2 marks)