Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]
Step-by-step 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 = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]
We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction
[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]
Dividing both numerator and denominator by 2 gives us
[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]
Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]
