Question

Arrange the following fractions in ascending order: $\frac{4}{5},\frac{7}{15},\frac{3}{10},\frac{17}{24}$

Answer 1

• We observe that the given fractions are unlike as they have different denominators. Firstly, we'll convert them into like fractions.
• Taking L.C.M. of $5$ , $15$, $10$ and $24$ to make like fractions.
• L.C.M. of $5$ , $15$, $10$ and $24$ is $120$
• Now, make denominators alike, $\frac{4\times 24}{5\times 24},\frac{7\times 8}{15\times 8},\frac{3\times 12}{10\times 12},\frac{17\times 5}{24\times 5}$
• We get, $\frac{96}{120},\frac{56}{120},\frac{36}{120},\frac{85}{120}$
• Now, arranging these in ascending order, we get, $\frac{36}{120}<\frac{56}{120}<\frac{85}{120}<\frac{96}{120}$
• Hence, we can rewrite them as $\frac{3}{10}<\frac{7}{15}<\frac{17}{24}<\frac{4}{5}$.