Question

Yesterday,annie walked 9/10 mile to her friends house. Together, they walked 1/3 mile to the library. Which best estimate for how far Annie walked yesterday?

Answer 1

➡️Answer:

Distance that Annie walked yesterday from her house to library = 37/30 mile

➡️Solution:

Annie alone walked
$= \frac{9}{10} \: mile$
Annie and her friend walked together
$= \frac{1}{3} mile$
To find how Annie alone walked the distance yesterday,add both the distance

$= \frac{9}{10} + \frac{1}{3}$
To add rational numbers , take LCM of denominator

LCM(3,10) = 30

$= \frac{27 + 10}{30} \\ \\ = \frac{37}{30} \: miles \\ \\ = 1.23 \: miles$

Case2:

If she returned to home ,than distance covered by Annie
$= \frac{2\times37}{30} \\ \\ = \frac{37}{15} \: miles \\ \\ = 2.47\: miles$

Hope it helps you.