Question

On Monday Mrs.Smith rode her favorite horse, Wild Racer, 1 3/4 mi.

On Tuesday she rode 1 9/15 mi; on Wednesday, 1 4/5 mi;
on Thursday 1 3/5 mi.
On which days did Mrs.Smith ride Wild Racer the same distance?

Answer 1

Answer: On Tuesday and Thursday

Explanation:

On Tuesday, Mrs. Smith rode her favorite horse for 1 9/15 miles. Taking it to its simplest form by dividing it by 3 would yield a mixed fraction of 1 3/5 which is the same as the distance that the horse was ridden on Thursday.

Another method is to convert them back into their original improper fractions.

Tuesday; Thursday

= 1 9/15 = 1 3/5

= (15 * 1 + 9) / 15 = (5 * 1 + 3)/5

= 24/15 = 8/5

= 8/5

Notice how again they are the same at their simplest forms.