Question

(-3/2x4/5)+(9/5-10/3)-(1/2x3/4)

Answer 1

will solve the equation separately and will add together

`-3/2*4/5=-12/10`

`9/5-10/3=27-50`

here i have taken the common denominator so the denominator becomes 50

`-1/2*3/4=-3/8`

now we have to add these three terms

`-12/10-23/50-3/8=-240-92-75/200=-407/200`

here i have taken common denominator for 5,10 and 8

will get 200 as common denominator .so the final expression will be -407/200

Answer 2

`\left ( (3)/(2)* (4)/(5) \right )+\left ( (9)/(5)- (10)/(3) \right )-\left ( (1)/(2)* (3)/(4) \right )`

In the first parenthesis, multiply the numerators so we get -12 and after multiply the denominator we will get 10

So the fraction in the first parenthesis will be
`\left ( (-12)/(10) \right )`

To solve the 2nd parenethesis, find the LCD of the denominator.

So the LCD of 5 and 3 = 15,

Now make the each denominator same as that of LCD.

So the new fractions in the 2nd parenthesis =
`(\left ( (27)/(15)- (50)/(15) \right )` =
`\left ( (-23)/(15) \right )`

In the third parenthesis, multiply the numerators so we get 3 and after multiply the denominator we will get 8

So third parenthesis =
`\left ( (3)/(8)\ \right )`

=
`\left ( (-12)/(10) \right ) + \left ( (-23)/(15) \right ) -\left ( (3)/(8)\ \right )`

LCD of 12,15 and 8 is 120

=
`\left ( (-144)/(120) \right ) + \left ( (-184)/(120) \right ) -\left ( (45)/(120)\ \right )`

=
`\left ( (-373)/(120) \right )`