In order to compute the substraction, we must convert the mixed fractions into a simple fraction form.
For the first fraction, we get
[tex]12\frac{5}{8}=\frac{12\cdot8+5}{8}=\frac{96+5}{8}=\frac{101}{8}[/tex]similarly, for the second fraction, we have
[tex]7\frac{2}{5}=\frac{7\cdot5+2}{5}=\frac{35+2}{5}=\frac{37}{5}[/tex]Now, the subtraction can be computed and is given by
[tex]\frac{101}{8}-\frac{37}{5}[/tex]then, we must find the common denominator. We can note that 8*5=40, then this substraction is
then, the substraction is
[tex]\begin{gathered} \frac{101}{8}-\frac{37}{5}=\frac{505-296}{40} \\ \frac{101}{8}-\frac{37}{5}=\frac{209}{40} \\ \end{gathered}[/tex]and the resul is
[tex]\frac{209}{40}[/tex]Now, we must convert this simple fraction into a mixed fraction form again. It gives
[tex]\frac{209}{40}=5\frac{9}{40}[/tex]
