Question

Simplify (3 + left(m - 3/4mright) - left(7n - 4/6nright))

A. ( m - n + 1/2m - 3n )

B. ( 3m + 2n - 7/24mn )

C. ( 5m - 11n - 12/12mn )

D. ( 7m - 6n - 9/8mn )

Answer 1

The expression (3 + (m - 3/4m) - (7n - 4/6n)) simplifies to 3 + 1/4m - 6 1/3n, which is not listed among the provided options. This suggests there might be a mistake in the question or answer choices.

Step-by-step explanation:

To simplify the expression (3 + (m - 3/4m) - (7n - 4/6n)), we need to combine like terms and simplify any fractions.

Step-by-step, here is how we can simplify:

1. Combine m and -3/4m. Since -3/4 is the same as -0.75, this becomes 1m - 0.75m, which simplifies to 0.25m or 1/4m.
2. Now combine 7n and -4/6n. Since -4/6 is equivalent to -2/3, this becomes 7n - 2/3n, which simplifies to (21/3)n - (2/3)n, resulting in 19/3n or 6 1/3n.
3. Combine 3, 1/4m, and -6 1/3n. This gives us the simplified expression 3 + 1/4m - 6 1/3n.

Therefore, the simplified expression is 3 + 1/4m - 6 1/3n, but this option is not listed in the provided choices. It is possible there is a typo or misunderstanding in the question or answer choices.