Question

Simplify the following 3/4(1/2× - 12)+4/5

Answer 1

Explanation:

3/4 ×1/-24 +5/5

3×1/4×-24+4/5

3×1/4×-24+4/5

3/-96+4/5

-3/96+4/5

-1/32+4/5

ans:123/160

Answer 2

The value of
`(3)/(4)\left((1)/(2) *-12\right)+(4)/(5)` is -
`(37)/(10)` or (-3.7)

Solution:

`(3)/(4)\left((1)/(2) *-12\right)+(4)/(5)`

Simplifying the equation we get,

`\left((3)/(4)\right) *\left((1)/(2) *(-12)\right)+(4)/(5)`

`\left((3)/(4)\right) *\left((-12)/(2)\right)+\left((4)/(5)\right)`

Dividing -12 and 2,

`[((3)/(4))*(-6)]+ ((4)/(5))`

`(3 *(-6))/(4)+\left((4)/(5)\right)`

`(-18)/(4)+\left((4)/(5)\right)`

Bringing
`(-18)/(4)` to its simplest form of fraction,

`\left(-(9)/(2)\right)+\left((4)/(5)\right)`

`\left((4)/(5)\right)-\left((9)/(2)\right)`

Factors of 5 =
`5*1`

Factors of 2 =
`2*1`

Therefore, Least Common multiple of 5 and 2 is 10.

`(8-45)/(10)`

`-(37)/(10) = (-3.7)`