Question

What number should be subtracted from $\frac{-3}{4}$ so as to get $\frac{5}{6}$?

Answer 1

Let the number to be subtracted be $x$.
Then, according to the statement,
$\frac{-3}{4}-x=\frac{5}{6}$
Solving the linear equation, we get,
$\frac{-3}{4}-\frac{5}{6}=x$
$x=\frac{-3}{4}-\frac{5}{6}$
$x=\frac{-3\times 6}{4\times 6}-\frac{5\times 4}{6\times 4}$
$x=\frac{-18-20}{24}$
$x=\frac{-38}{24}$
$x=\frac{-19}{12}$
Hence, $\frac{-19}{12}$ should be subtracted from $\frac{-3}{4}$ so as to get $\frac{5}{6}$.