Question

A jogger ran 5  1/4 km on Monday and 5  4/9 km on Tuesday. How much more did she run on Tuesday? 

28/5 km
5 1/4 km
7/34 km
7/36 km​

Answer 1

Answer:

If the jogger ran $5\frac{1}{4}km$ and $5\frac{4}{9}km$ on Monday and Tuesday respectively, then she ran 7/36 km more on Tuesday.

Step-by-step explanation:

The distance the jogger ran on Monday = $5\frac{1}{4}$km

$=\frac{(5*4+1)}{4} \\\\=\frac{21}{4}km$

The distance she ran on Tuesday =

$5\frac{4}{9}km\\\\=\frac{(5*9)+4}{9} \\\\=\frac{49}{9}km$

The extra distance that she ran on Tuesday = distance ran on Tuesday - distance ran on Monday

that is,

$\frac{49}{9} -\frac{21}{4} \\\\\\=\frac{(49*4)-(21*9)}{9*4} \\\\=\frac{196-189}{36}\\\\=\frac{7}{36}km$

So she ran 7/36 km more on Tuesday