Question

Arrange the following fractions in ascending order - 5/12 , 1/4 , 7/8 , 5/6

Answer 1

To arrange : following numbers in the descending order .  

Given data : $\frac{-5}{12} ,\frac{1}{4} ,\frac{7}{8} ,\frac{5}{6}$

Solution :

• To arrange numbers in ascending order is to write number from smaller to bigger.

• Therefore , to arrange given rational numbers in the ascending order we need to equalize denominators of all the rational numbers by taking LCM .

• Therefore , LCM = $48$

• Now , multiplying numerators by same numbers as multiplied by denominator to make LCM .

• Therefore, we get , $\frac{-5}{12} ,\frac{1}{4} ,\frac{7}{8} ,\frac{5}{6}$ $= \frac{-5\times 4}{48} ,\frac{1\times 12}{48} ,\frac{7\times 6}{48} ,\frac{5\times 8}{48}$

                                                         $= \frac{-20}{48} ,\frac{12}{48} ,\frac{42}{48} ,\frac{40}{48}$

Ascending  order : $\frac{-20}{48} <\frac{12}{48} <\frac{40}{48} <\frac{42}{48}$   or  $\frac{-5}{12} <\frac{1}{4} < \frac{5}{6} <\frac{7}{8}$