Question

Vaibhav cycles 1 whole 5 by 8 km from school to a book store, 1 by 2 km more to the grocery store and then 2 whole 3 by 4 m home. Find the total distance cycled by Vaibhav. Is it more or less than 5 km. If more or less, find the
difference.​

Answer 1

Step-by-step explanation:

Distance covered between school and book store = $1\dfrac{5}{8}$ km

Distance covered between book store and grocery store = $\dfrac{1}{2}$ km

Distance covered between grocery store and home = $2\dfrac{3}{4}$ km

Total distance covered = $1\dfrac{5}{8}+\dfrac{1}{2}+ 2\dfrac{3}{4}$ km

$1\dfrac{5}{8}+\dfrac{1}{2}+ 2\dfrac{3}{4}$

$=\dfrac{13}{8} +\dfrac{1}{2} +\dfrac{11}{4}$ (LCM = 8)

$=\dfrac{13\times1}{8\times1} +\dfrac{1\times4}{2\times4} +\dfrac{11\times2}{4\times2}$

$=\dfrac{13}{8} +\dfrac{4}{8} +\dfrac{22}{8}$

$=\dfrac{13+4+22}{8}$

$=\dfrac{39}{8}$

∴Total distance covered =  $\dfrac{39}{8}$km

It is less than 5 km.

Difference = $5 - \dfrac{39}{8}$

$5 - \dfrac{39}{8}$ (LCM = 8)

$=\dfrac{5\times8}{1\times8} - \dfrac{39\times1}{8\times1}$

$=\dfrac{40}{8} - \dfrac{39}{8}$

$=\dfrac{40-39}{8}$

$= \dfrac{1}{8}$

∴ Difference = $\dfrac{1}{8}$