question_answer

Write \[\frac{3}{2},\frac{4}{5},\frac{8}{5}\] in decimal notation.

Answer:

We have to find a fractional equivalent to \[\frac{3}{2},\frac{4}{5}\] and \[\frac{8}{5}\] so, that it has a denominator 10. So,       \[\frac{3}{2}=\frac{3\times 5}{2\times 5}=\frac{15}{10}=1.5\]    \[[\because \,10\div 2=5]\]             \[\frac{4}{5}=\frac{4\times 2}{5\times 2}=\frac{8}{10}=0.8\]     \[[\because \,10\div 5=2]\]             \[\frac{8}{5}=\frac{8\times 2}{5\times 2}=\frac{16}{10}=1.6\]        \[[\because \,10\div 5=2]\]