Question

Manjula and Priya went for a morning walk Manjula took a round of 16 upon 5 kilometre and Priya took a round of 23 upon 7 kilometre who walked the greater distance and by how much

Answer 1

Given :

Manjula and Priya went for a morning walk.

Manjula took a round of $\frac{16}{5}$ Km and Priya took a round of $\frac{23}{7}$ km.

To Find :

Who walked the greater distance and how much.

Solution :

First we make the denominators common of the both fractions by multiplying numerator and denominators with the same digit. so that to find the greater fraction will be easier.

The distance walked by Manjula = $\frac{16}{5}$ Km

= $\frac{16\times 7}{5\times 7}$

= $\frac{112}{35}$

The distance walked by Priya =  $\frac{23}{7}$ km.

= $\frac{23\times 5}{7\times 5}$

= $\frac{115}{35}$

Now we can see the distance traveled by Priya is greater.

The difference of the distance = $\frac{23}{7}-\frac{16}{5}$

                                                  = $\frac{115-112}{35}$

                                                  = $\frac{3}{35}$ km

Priya walked  $\frac{3}{35}$ km more than Manjula.