Question

Arrange the following fraction in descending order $\frac{5}{6},\frac{11}{16},\frac{13}{18},\frac{7}{12}$

Answer 1

Arrange fractions in descending order $\frac{5}{6},\frac{11}{16},\frac{13}{18},\frac{7}{12}$

First, find the LCM of the denominator of the fraction

LCM of $6,16,18,12$ is $144$

Convert the given fraction into like a fraction,

$$\begin{gathered} \frac{5\times 24}{6\times 24},\frac{11\times 9}{16\times 9},\frac{13\times 8}{18\times 8},\frac{7\times 12}{12\times 12} \\ \frac{120}{144},\frac{99}{144},\frac{104}{144},\frac{84}{144} \end{gathered}$$

We observe that, $\frac{120}{144}>\frac{104}{144}>\frac{99}{144}>\frac{84}{144}$

$\therefore$The descending order is $\frac{5}{6},\frac{13}{18},\frac{11}{16},\frac{7}{12}$