The given expression is :
[tex]\frac{100\times5}{7\times4}[/tex]The Highest common factor of 100 & 4 is 25 so,
[tex]\frac{100\times5}{7\times4}=\frac{25\times5}{7\times1}[/tex]Multiply the numerator : 25 x 5 = 125
Multiply the denominator : 7 x 1 = 7
[tex]\begin{gathered} \frac{100\times5}{7\times4}=\frac{25\times5}{7\times1} \\ \frac{100\times5}{7\times4}=\frac{125}{7} \end{gathered}[/tex]For decimal form divide 125 by 7
[tex]\frac{100\times5}{7\times4}=\frac{125}{7}=17.857[/tex]Answer :
[tex]\frac{100\times5}{7\times4}=\frac{125}{7}=17.857[/tex]