we can always convert any decimal number to a fraction, by using as many zeros at the denominator as there are decimals and losing the dot above, so let's do so with these two and simplify.
[tex]\bf 3.\underline{5}\implies \cfrac{35}{1\underline{0}}\implies \stackrel{simplified}{\cfrac{7}{2}}~\hfill 5.\underline{6}\implies \cfrac{56}{1\underline{0}}\implies \stackrel{simplified}{\cfrac{28}{5}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{gallons}{3.5}:\stackrel{gallons}{5.6}\implies \cfrac{3.5}{5.6}\implies \cfrac{~~\frac{7}{2}~~}{\frac{28}{5}}\implies \cfrac{7}{2}\cdot \cfrac{5}{28}\implies \cfrac{7}{28}\cdot \cfrac{5}{2}\implies \cfrac{1}{4}\cdot \cfrac{5}{2}\implies \cfrac{5}{8}[/tex]
The simplest form is 5/8
To Remove the decimal the following steps should be noted
So , to convert 3.5 we will divide the digit 35 by 10 as there is one digit after decimal
We will apply the same for 5.6 that it 56/10
Therefore
35/10*10/56 = 35/56 = 5/8
Hence the numerator is 5 and denominator is 8
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