Question

Write the following factional numbers in descending order $\frac{2}{9},\frac{5}{12},\frac{7}{15},\frac{10}{14}$

Answer 1

We have,

L.C.M. of $9,12,15,14=1260$

Then,

$\frac{2}{9}\times \frac{140}{140}=\frac{280}{1260}$

$\frac{5}{12}\times \frac{105}{105}=\frac{525}{1260}$

$\frac{7}{15}\times \frac{84}{84}=\frac{588}{1260}$

$\frac{10}{14}\times \frac{90}{90}=\frac{900}{1260}$

Then,

Descending order

$\frac{900}{1260}>\frac{588}{1260}>\frac{525}{1260}>\frac{280}{1260}$

$\frac{10}{14}>\frac{7}{15}>\frac{5}{12}>\frac{2}{9}$

Hence, this is the answer.