What should be added to -2/3 to get 3/4 ? A. -11/2 B. -13/12

Question

What should be added to \(\frac{-2}{3}\) to get \(\frac{3}{4}\,?\) 

A. \(\frac{-11}{12}\) 

B. \(\frac{-13}{12}\) 

C. \(\frac{-5}{4}\) 

D. \(\frac{17}{12}\)

Answer 1

Let the number added be x

Then,

\(\frac{-2}{3}+\text{x}=\frac{3}{4}\)

\(\Rightarrow\) \(\text{x}=\frac{3}{4}-\frac{-2}{3}\) 

\(\Rightarrow\) \(\text{x}=\frac{3\times3-(-2)\times4}{12}\) 

\(\Rightarrow\) \(\text{x}=\frac{9+8}{12}\) 

\(\Rightarrow\) \(\text{x}=\frac{17}{12}\)