Fundamentals Of Fractions
How to arrange fractions in ascending and descending order:
1. Check the denominators of all the given fractions. If all the denomiantors are equal then simply compare the numerators and arrange fractions according to it.
2. If the denominators are not same then take the LCM of all the denominators and make all the denominators equal to LCM, i.e., we convert fractions into like fractions. Then check the numerators arrange them in ascending order (from smaller to bigger) or descending order (from bigger to smaller fractions).
Ex: Arrange the fractions \(
\frac{2}
{3},\frac{1}
{2},\frac{5}
{6}
\) in ascending oder
Sol: Given fractions denominators are not equal.
\(
\therefore
\)LCM of 3, 2, 6 = 6
\(
\begin{gathered}
\therefore \frac{{2 \times 2}}
{{3 \times 2}},\frac{{1 \times 3}}
{{2 \times 3}},\frac{{5 \times 1}}
{{6 \times 1}} \hfill \\
\Rightarrow \frac{4}
{6},\frac{3}
{6},\frac{5}
{6} \hfill \\
\end{gathered} \)
\(
\therefore
\)Ascending oder is \(
\frac{1}
{2} < \frac{2}
{3} < \frac{5}
{6}
\)
or Ascending order is \(
\frac{1}
{2},\frac{2}
{3},\frac{5}
{6}
\)