Question

Which expression is equivalent to sum of quantity negative two and one half times n plus one fourth end quantity plus quantity three and three fourths times n minus five eighths end quantity? five fourths times n minus three eighths five fourths times n plus seven eighths negative twenty five fourths times n minus three eighths negative twenty five fourths times n plus three eighths

Answer 1

The expression -2 + 1/2n + 3 3/4n - 5/8 is equivalent to 5/4n - 3/8.

Step-by-step explanation:

The expression in the question is: -2 + ⅑n + ¾(3 ½n - ⅘5)

To simplify this expression, start by distributing the fractions:
¾(3 ½n - ⅘5) = ¾(3 ½n) + ¾(⅘5) = ⅙5n - ⅘9

Now combine like terms:
-2 + ⅑5n + ⅙5n - ⅘9 = ⅓5n - ⅘5

So, the equivalent expression is: ⅓4n - ⅘3