Question

a. 3/4 + 9/5 x 3/2 -1

b. 4/9 x 13/3 - 4/3 x 40/9

c. 1/6 + 1/7 x 2/7 + 1/7 x 5/7

d. ( 2/3 + 5/3) 1/2 +1/3 (1/2 + 3/2)

e. -2/3 + 2 (-2/3) x 3 - 3

d. 3/10 ( -4/9 +2/5) - 3/10 ( 5/9 + -3/5)

 

Answer 1

a: \(=\dfrac{3}{4}+\dfrac{27}{10}-1=\dfrac{15}{20}+\dfrac{54}{20}-\dfrac{20}{20}=\dfrac{49}{20}\)

b: \(=\dfrac{4\cdot13-4\cdot40}{3\cdot9}=\dfrac{-27\cdot4}{27}=-4\)

c: \(=\dfrac{1}{6}+\dfrac{1\cdot2+1\cdot5}{7\cdot7}=\dfrac{1}{6}+\dfrac{1}{7}=\dfrac{13}{42}\)

d: \(=\dfrac{7}{3}\cdot\dfrac{1}{2}+\dfrac{1}{3}\cdot2=\dfrac{7}{6}+\dfrac{2}{3}=\dfrac{11}{6}\)

Answer 2

` 3/4 + 9/5 xx 3/2 -1`

` = 3/4 +27/10 - 1`

` =  15/20 + 54/20 - 20/20`

` = (15+54-20)/20`

`=49/20`

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`4/9 xx 13/3 - 4/3 xx 40/9`

` = (4xx13-4xx40)/(3xx9)`

` = (-27xx4)/27`

`=-4`

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` 1/6 + 1/7 x 2/7 + 1/7 x 5/7`

`= 1/6 + 1/7 xx ( 2/7 + 5/7)`

`= 1/6 + 1/7 xx 7/7`

`= 1/6+ 1/7 xx 1`

`= 1/6 + 1/7`

`=7/42 + 6/42`

` = 13/42`

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`( 2/3 + 5/3). 1/2 +1/3. (1/2 + 3/2)

` = 7/3 . 1/2 + 1/3 . 4/2`

`= 7/3 . 1/2 + 1/3 . 2`

`=(7xx1)/(3xx2) + (1xx2)/(3xx1)`

` = 7/6 + 2/3`

`= 7/6 + 4/6`

` = 11/6`

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`-2/3 + 2 (-2/3) x 3 - 3`

` = -2/3 + (-4)/3 xx 3 - 3`

` = (-2)/3 + (-4) - 3`

` = (-2)/3 + (-7)`

`= (-2)/3 + (-21)/3`

` = -23/3`

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