Question

(6 8 25 ÷(−1)−(−0.8)·(−0.1))÷(−0.25÷1.25−1 3 5 ÷(−5 1 3 ))

Answer 1

`\left(6 (8)/(25)/ (-1)-(-0.8)\cdot (-0.1)\right)/\left (-0.25/ 1.25-1 (3)/(5) /\left(-5 (1)/(3) \right)\right)=-64`

Explanation:

Given : Expression
`\left(6 (8)/(25)/ (-1)-(-0.8)\cdot (-0.1)\right)/\left (-0.25/ 1.25-1 (3)/(5) /\left(-5 (1)/(3) \right)\right)`

To find : Simplify the expression ?

Solution :

First we solve all multiplications and divisions individually,

`6(8)/(25)/ (-1)=-6(8)/(25)=-(158)/(25)=-6.32`

`(-0.8)\cdot (-0.1)=0.08`

`-0.25/ 1.25=-(0.25)/(1.25)=-(25)/(125)=-(1)/(5)=-0.2`

`1(3)/(5)/ \left(-5(1)/(3)\right)=-(8)/(5)\cdot (3)/(16)=-(3)/(10)=-0.3`

Substitute all the values,

`=-6.32-0.08/(-0.2-(-0.3)`

`=-6.4/ 0.1`

`=-(6.4)/(0.1)`

`=-64`

Therefore,
`\left(6 (8)/(25)/ (-1)-(-0.8)\cdot (-0.1)\right)/\left (-0.25/ 1.25-1 (3)/(5) /\left(-5 (1)/(3) \right)\right)=-64`