Question

Rashita jogged 5 upon 12 of a km and walked 3 upon 4 of a km. How far did she go in all? Please ans. it fast.

Answer 1

Given ,

$Distance\: jogged\: =\: {\dfrac{5}{12}}\: of\: a\: km$

$Distance\: walked\: =\: {\dfrac{3}{4}}\: of\: a\: km$

To Find :-

Total distance traveled

Answer :-

$Total\: distance\: jogged\: =\: {\dfrac{5}{12}} of 1 km$

=> $Total\: distance\: jogged\: =\: {\dfrac{5 \times 1}{12}} of 1 km$

= ${\dfrac{5}{12}}\: km$

$Total\: distance\: walked\: =\: {\dfrac{3}{4}} of\: 1\: km$

=>$Total\: distance\: walked\: = {\dfrac{3 \times 1}{4}}$

= $\dfrac{3}{4}\: km$

Total distance traveled = Total distance jogged + Total distance walked.

$= {\dfrac{5}{12}} + {\dfrac{3}{4}}$

LCM of 12 and 4 is 12

$= {\dfrac{5 + 9}{12}}$

$= {\dfrac{14}{12}}$

$= {\dfrac{7}{6}}$

Therefore, total distance covered is $= {\dfrac{7}{6}}$ of a kilometre