Question

Re-arrange the given fractions in ascending order :

$\frac{7}{15},\frac{11}{12},\frac{13}{35}$

Answer 1

$LCMof15,12and35=2\times 2\times 3\times 5\times 7=420$

$\frac{7}{15}=\frac{7\times 28}{15\times 28}=\frac{196}{420}(420÷15=28)$

$\frac{11}{12}=\frac{11\times 35}{12\times 35}=\frac{385}{420}(420÷12=35)$

$\frac{13}{35}=\frac{13\times 12}{35\times 12}=\frac{156}{420}(420÷35=12)$

Since 156 < 196 < 385

$\frac{156}{420}<\frac{196}{420}<\frac{385}{420}$

$\frac{13}{35}<\frac{7}{15}<\frac{11}{12}$