Question

Write the fractions in the ascending order $\frac{4}{5},\frac{12}{35},\frac{17}{21},\frac{13}{30},\frac{101}{105}$

Answer 1

Arrange the fractions in the ascending order $\frac{4}{5},\frac{12}{35},\frac{17}{21},\frac{13}{30},\frac{101}{105}$

Convert the given fraction into a like fraction,

The LCM of $5,35,21,30$ and $105$ is $210$

$\frac{4\times 42}{5\times 42},\frac{12\times 6}{35\times 6},\frac{17\times 10}{21\times 10},\frac{13\times 7}{30\times 7},\frac{101\times 2}{105\times 2}$

$\frac{168}{210},\frac{72}{210},\frac{170}{210},\frac{91}{210},\frac{202}{210}$

We observe that $\frac{72}{210}<\frac{91}{210}<\frac{168}{210}<\frac{170}{210}<\frac{202}{210}$

Therefore, the fractions are in the ascending order: $\frac{12}{35},\frac{13}{30},\frac{4}{5},\frac{17}{21},\frac{101}{105}$