Question

Evaluate the following expressions expressing your answer in fraction form if needed be sure to use the correct order of operations

Answer 1

Given:

`(6+4\cdot1-2)/(-5(4-1/(7+5)))`

Required:

We need to evaluate the given expression.

Step-by-step explanation:

Use the BODMAS rule.

Solve the bracket.

`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(6+4\cdot1-2)/(-5(4-1/12))`

Divide 1 by 12.

`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(6+4\cdot1-2)/(-5(4-(1)/(12)))`

Multiply 4 and 1 gives 4.

`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(6+4-2)/(-5(4-(1)/(12)))`

Add 6 and 4 gives 10.

`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(10-2)/(-5(4-(1)/(12)))`

Subtract 2 from 10 given 8.

`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(8)/(-5(4-(1)/(12)))`
`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(8)/(-5(4*(12)/(12)-(1)/(12)))`
`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(8)/(-5((48-1)/(12)))`
`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(8)/(-5((47)/(12)))`
`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(8)/(-((235)/(12)))`

Multiply the numerator by the reciprocal of the denominator to divide the rational numbers.

`(6+4\cdot1-2)/(-5(4-1/(7+5)))=8*(-12)/(235)`
`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(-96)/(235)`

Final answer:

`(6+4\cdot1-2)/(-5(4-1/(7+5)))=(-96)/(235)`