The mixed fraction is express as :
[tex]a\frac{b}{c}=\frac{a\times c+b}{c}[/tex]The given expression is :
[tex]14\frac{3}{4}-4\frac{1}{8}[/tex]Simplify the mixed fraction into decimal form :
[tex]\begin{gathered} 14\frac{3}{4}=\frac{14\times4+3}{4} \\ 14\frac{3}{4}=\frac{59}{4} \\ 14\frac{3}{4}=14.75 \end{gathered}[/tex][tex]\begin{gathered} 4\frac{1}{8}=\frac{4\times8+1}{8} \\ 4\frac{1}{8}=\frac{33}{8} \\ 4\frac{1}{8}=4.125 \end{gathered}[/tex]Substitute the value and then subtarct :
[tex]\begin{gathered} 14\frac{3}{4}-4\frac{1}{8}=14.75-4.125 \\ 14\frac{3}{4}-4\frac{1}{8}=10.625 \end{gathered}[/tex]Answer : 14 3/4 - 4 1/8 = 10.625
