Respuesta :

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]

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