Which expression is equivalent to sum of negative four and one half times n plus the quantity one fourth plus one and three fourths times n minus three eighths?

negative eleven fourths times n plus five eighths
negative eleven fourths times n minus one eighth
negative twenty five fourths times n minus one eighth
negative twenty five fourths times n plus one eighth

1 answer

To simplify the expression, we distribute the multiplication:

-4 * (1/2 * n) + (1/4 + 1 + 3/4) * n - 3/8

-2/2 * n + (2/4 + 4/4 + 6/4) * n - 3/8

-n + (12/4) * n - 3/8

-n + 3n - 3/8

Now combine like terms:

(-n + 3n) - 3/8

2n - 3/8

Therefore, the equivalent expression is: negative twenty five fourths times n plus one eighth