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Answer :
Final answer:
To make the expression 5/6x - 4 equivalent to 1/2x - 4, one must add a) -1/3x to it, which corresponds to option (a).
Explanation:
In the question it is asked which term can be added to the expression 5/6x - 4 to make it equivalent to 1/2x - 4.
To find the term we can add to the first expression to make it equal to the second, we need to subtract 5/6x from 1/2x.
Doing this subtraction gives us:
= 1/2x - 5/6x
= (3/6)x - (5/6)x (since 1/2 is the same as 3/6)
= -2/6x
= -1/3x
Therefore, the correct answer is -1/3x, which corresponds to option (a).
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Rewritten by : Barada
[tex]\frac{-1}{3}x[/tex] can be added to [tex]\frac{5}{6}x-4[/tex] to make it equivalent to [tex]\frac{1}{2}x-4[/tex].
Step-by-step explanation:
Let,
y be the term that can be added to given fraction.
Therefore;
[tex](\frac{5}{6}x-4)+y=\frac{1}{2}x-4[/tex]
Subtracting [tex]\frac{5}{6}x-4[/tex] from both sides to find y
[tex](\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[/tex]
[tex]\frac{-1}{3}x[/tex] can be added to [tex]\frac{5}{6}x-4[/tex] to make it equivalent to [tex]\frac{1}{2}x-4[/tex].
Keywords: fraction, subtraction
Learn more about fractions at:
- brainly.com/question/7153188
- brainly.com/question/7151553
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