Question

7/5-6/5+3/2=17/10=1 7/10

Answer 1

Question:

Solution:

Let us denote by x the blank space in the given equation. Then, we get:

$\frac{7}{5}-x+\frac{3}{2}=\frac{6}{5}$

this is equivalent to:

$\frac{7}{5}+\frac{3}{2}-x=\frac{6}{5}$

this is equivalent to:

$\frac{14+15}{10}-x=\frac{6}{5}$

that is:

$\frac{29}{10}-x=\frac{6}{5}$

solving for x, we obtain:

$\frac{29}{10}-\frac{6}{5}=x$

that is:

$x=\frac{29}{10}-\frac{6}{5}=\frac{29-12}{10}=\frac{17}{10}$

so that, the blank space would be:

$\frac{17}{10}$

and the complete expression would be:

$\frac{7}{5}-\frac{17}{10}+\frac{3}{2}=\frac{6}{5}$