Question

What is the value of the expression (3a-8)/(6(8-a)) when a = 4? Remember to use PEMDAS.

Answer 1

[See Below]

Explanation:

`Hey~There!`

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→ Rewrite the equation given the information:

→
`a=4`

• 
  `(3*4-8)` ÷
  `(6(8-4))`

`or`

• 
  `((3*4-8))/((6(8-4)))`

→ Solve using PEMDAS:

→ Parenthesis:

• 
  `3*4-8=\bold4`

• 
  `(6(8-4))=\bold2\bold4`

→ Division:

• 
  `4` ÷
  `24=\bold0\bold.\bold1\bold6\bold`
  `r` (Repeating)

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So based on the above work we can conclude that your answer is:

• Decimal Form:
  `\bold0\bold.\bold1\bold6\bold`
  `r` (Repeating)

• Fraction Form:
  `(\bold1)/(\bold6)`

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`Hope~this~helps!`

`-Shane, SpamIsTheMan :)`

Answer 2

The value of (3a-8)/(6(8-8)) is equal to 1/6.

Explanation:

Plug in 4 for a.

(3(4)-8) / (6(8-4))

(12-8) / (6(4)

4 / 24

Now simplify.

4/24 simplifies to 1/6