What should be subtracted from $\dfrac{-3}{4}$ to get 1?
Answer
682.5k+ views
Hint: Assume a variable x which is to be subtracted from $\dfrac{-3}{4}$ to get 1. Solve for x using basic mathematical operations and substitutions. The value of x so obtained is the required answer that must be subtracted from $\dfrac{-3}{4}$ to get 1.
Complete step-by-step answer:
Let a variable x be subtracted from $\dfrac{-3}{4}$.
Now, according to the question, it is given that when x is subtracted from $\dfrac{-3}{4}$ we get 1 as a result.
\[\begin{align}
& -\dfrac{3}{4}-x=1 \\
& \Rightarrow -\dfrac{3}{4}-1=x \\
\end{align}\]
\[\Rightarrow x=-\dfrac{7}{4}\]
Note: In this type of question, one might get confused as subtraction means deduction and generally we get a smaller number from subtraction. But here we are getting a larger number. This confusion can only be rectified by assuming a variable and then subtract it and make it equal to the desired result.
Complete step-by-step answer:
Let a variable x be subtracted from $\dfrac{-3}{4}$.
Now, according to the question, it is given that when x is subtracted from $\dfrac{-3}{4}$ we get 1 as a result.
\[\begin{align}
& -\dfrac{3}{4}-x=1 \\
& \Rightarrow -\dfrac{3}{4}-1=x \\
\end{align}\]
\[\Rightarrow x=-\dfrac{7}{4}\]
Note: In this type of question, one might get confused as subtraction means deduction and generally we get a smaller number from subtraction. But here we are getting a larger number. This confusion can only be rectified by assuming a variable and then subtract it and make it equal to the desired result.
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