Question

What number should be subtracted from $-\frac{13}{5}$ to get $-\frac{7}{6}$?

Answer 1

Determine the number that must be subtracted from $-\frac{13}{5}$ to get $-\frac{7}{6}$.

Let the number be $a$.

According to the question:

$-\frac{13}{5}-a=-\frac{7}{6}$

Solve the above equation is as follows:

$\begin{array}{rcl}-\frac{13}{5}-a& =& -\frac{7}{6}\\ & \Rightarrow & a=-\frac{13}{5}+\frac{7}{6}\\ & \Rightarrow & a=\frac{-78+35}{30}\\ \therefore a& =& \frac{-43}{30}\end{array}$

Hence, the required number is $\frac{-43}{30}$.