Question

What term can you add to 5/6x-4 to make it equivalent to 1/2x-4?

a. -1/3x
b. -1/3
c. 1/2x
d. 1/2

Answer 1

$\frac{-1}{3}x$ can be added to $\frac{5}{6}x-4$ to make it equivalent to $\frac{1}{2}x-4$.

Step-by-step explanation:

Let,

y be the term that can be added to given fraction.

Therefore;

$(\frac{5}{6}x-4)+y=\frac{1}{2}x-4$

Subtracting $\frac{5}{6}x-4$ from both sides to find y

$(\frac{5}{6}x-4)-(\frac{5}{6}x-4)+y=\frac{1}{2}x-4-(\frac{5}{6}x-4)\\\\\frac{5}{6}x-4-\frac{5}{6}x+4+y=\frac{1}{2}x+4-\frac{5}{6}x+4\\\\y=\frac{1}{2}x-\frac{5}{6}x\\\\y=\frac{3-5}{6}x\\\\y=\frac{-2}{6}x\\\\y=\frac{-1}{3}x$

$\frac{-1}{3}x$ can be added to $\frac{5}{6}x-4$ to make it equivalent to $\frac{1}{2}x-4$.

Keywords: fraction, subtraction

Learn more about fractions at:

• brainly.com/question/7153188
• brainly.com/question/7151553

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