we have
[tex](2.3)(5.06)[/tex]
we know that
[tex]2.3=\frac{23}{10}[/tex]
[tex]5.06=\frac{506}{100}[/tex]
so
[tex](2.3)(5.06)=(\frac{23}{10})(\frac{506}{100})[/tex]
[tex]=\frac{11,638}{1,000}[/tex]
[tex]=11.638[/tex]
the answer is in thousandths, because the denominator of the multiplication of the two fractions is one thousand