Question

Arrange the following fractions in ascending order from top to bottom.

• A. $\frac{2}{5}$
• B. $\frac{1}{2}$
• C. $\frac{3}{5}$
• D. $\frac{3}{4}$
• E. $\frac{4}{5}$

Answer 1

First we need to find the L.C.M. of the denominators of the given fractions to create equivalent fractions.
i.e., L.C.M. of 2, 4 and 5, which is 20.
Note that $\frac{1}{2}=\frac{10}{20}$, $\frac{3}{4}=\frac{15}{20}$, $\frac{2}{5}=\frac{8}{20}$, $\frac{4}{5}=\frac{16}{20}$ and $\frac{3}{5}=\frac{12}{20}$.
Now since 8$<$10$<$12$<$15$<$16, we have $\frac{2}{5}<\frac{1}{2}<\frac{3}{5}<\frac{3}{4}<\frac{4}{5}$