CLASS-8
CUBE ROOT OF FRACTION

Cube Root of Fraction

To find the cube root of a mixed fraction, first we have to convert it into an improper fraction. The cube root of a proper or improper fraction is given by the following formula -

                                 Cube root of the numerator

Cube root of a fraction = -----------------------------   

                                  Cube root of denominator  


               a             ∛a

 So,    --------- = ---------

               b             ∛b

There are some example are given below for more understanding –

                ∛27           ∛3ᶟ             3

Example.1) --------- = --------- = --------   (Ans.)

               125           ∛5ᶟ           5

 

                 ∛343            ∛7               7

Example.2)  ---------- = ---------- = ----------  (Ans.)

                1331           ∛11             11

 

                  ∛64            ∛4              4

Example.3)  ---------- = ---------- = ---------  (Ans.)

                 729            ∛9             9