Question

The distance between two places of interest is 2/3km. I go 1/4 of this distance on foot. How far is still to go?​

Answer 1

`\displaystyle \mathsf $(1)/(2)$ km`

Explanation:

If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover

If the distance between the two places is d, distance left =(3/4) . d

In this case, d = 2/3 km

So distance left to cover =
`(2)/(3)\cdot (3)/(4)`

We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction

`\frac{2}{\cancel{3}}\cdot\frac{{\cancel{3}}}{4}=(2)/(4)`

Dividing both numerator and denominator by 2 gives us

`(2/2)/(4/2)=(1)/(2)`

Answer:

`\displaystyle \mathsf $(1)/(2)$ km`