Question

What should be subtracted from \[\dfrac{-3}{4}\] to get \[\dfrac{5}{6}\]

Answer 1

Hint: We are given two fractions with a relationship such that subtracting one from the other yields the second fraction. As a result, we'll refer to that something as x. Then we'll use the data to create an equation. We shall receive the value of x after solving. That is our answer.

Complete step by step answer:
Given that x should be subtracted from \[\dfrac{-3}{4}\] so we can write it in the form of expression is given by
\[\dfrac{-3}{4}-x\]
But, the answer we get is \[\dfrac{5}{6}\]
Thus the equation as a whole becomes the linear equation with one variable that is x.
\[\dfrac{-3}{4}-x=\dfrac{5}{6}\]
Now transpose x on other side, we get:
\[\dfrac{-3}{4}-\dfrac{5}{6}=x\]
Now we will take LCM on LHS by cross multiplying method we get:
\[\Rightarrow \dfrac{-3\times 6-5\times 4}{4\times 6}=x\]
On multiplying we get,
\[\Rightarrow \dfrac{-18-20}{24}=x\]
On adding the numbers we get:
\[\Rightarrow \dfrac{-38}{24}=x\]
To simplify the fraction we have to divide them by their HCF. The GCF of 38 and 24 is 2.
Therefore, we get the final answer is:
\[\Rightarrow \dfrac{-19}{12}=x\]
Thus this value is to be subtracted from the given fraction to get the answer.

So, the correct answer is “\[\dfrac{-19}{12}\]”.

Note:
 It's worth noting that the wording of the question is significantly more crucial. That is, either the variable is subtracted from a number or the variable is subtracted from a number. As a result, always read the question thoroughly. Because a single incorrectly placed phrase will cause the entire problem to collapse. It's also worth noting that when two negative terms are joined together, the sign is merely minus.