We need to find the equivalent fraction of the given fraction.
The equivalent fraction of [tex]\dfrac{28}{0.64}=\dfrac{175}{4}[/tex]
[tex]\dfrac{28}{0.64}[/tex]
[tex]=\dfrac{28}{\dfrac{64}{100}}[/tex] [tex]\left(\because 0.64=\dfrac{64}{100}\right)[/tex]
[tex]=\dfrac{28\times100}{64}[/tex] [tex]\left(\because \dfrac{a}{\dfrac{b}{c}}=\dfrac{a\times c}{b}\right)[/tex]
Dividing by common factors we get
[tex]\dfrac{7\times 25}{4}[/tex]
[tex]=\dfrac{175}{4}[/tex]
So, the equivalent fraction of [tex]\dfrac{28}{0.64}=\dfrac{175}{4}[/tex].
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