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?

On Tuesday and Thursday

Step-by-step 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.

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)