Question

5/6 - ( 1/8 divided by 3/4)

Answer 1

2/3

Explanation:

• To solve the expression
  `\( (5)/(6) - \left((1)/(8) / (3)/(4)\right) \)` you need to perform the operations inside the parentheses first and then subtract the result from
  `\( (5)/(6) \)`

First, let's simplify
`\( (1)/(8) / (3)/(4) \)`

`\[ (1)/(8) / (3)/(4)\\\\ (1)/(8) * (4)/(3) \\\\ (1 * 4)/(8 * 3) \\\\ (4)/(24) \\\\ (1)/(6) \]`

Now the expression becomes
`\( (5)/(6) - (1)/(6) \)`

• To subtract these fractions, they need a common denominator, which is 6 in this case. So, rewrite the fractions with a common denominator:

`\[ (5)/(6) - (1)/(6) = (5 - 1)/(6) = (4)/(6) \]`

• Now, the fraction
  `\( (4)/(6) \)` can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

`\[ (4)/(6) = (2 * 2)/(3 * 2) = (2)/(3) \]`

So,
`\( (5)/(6) - \left((1)/(8) / (3)/(4)\right) = (2)/(3) \)`