While warming up for track meet,Anna jogged for 17/20 of a mile. Katie jogged for 3/5 of a mile. How much farther did anna jog?

JR/Jared --

I've shown you how to do at least a couple of these. Now it's your turn.

Please post your work and answer. I'll be glad to check it.

1/4

Right! :-)

thank you

You're welcome.

To find out how much farther Anna jogged compared to Katie, we need to subtract the distance Katie jogged from the distance Anna jogged.

First, let's convert both distances to a common denominator. The least common multiple (LCM) of 20 and 5 is 20, so we can convert both fractions to have a denominator of 20.

For Anna:
17/20 of a mile = 17/20 * 1 mile = 17/20 * 20/20 = 340/400 mile

For Katie:
3/5 of a mile = 3/5 * 1 mile = 3/5 * 4/4 = 12/20 mile

Now we can subtract Katie's distance from Anna's distance:

340/400 mile - 12/20 mile = (340 - 12)/400 mile = 328/400 mile

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 4:
328/400 = (328/4)/(400/4) = 82/100 mile.

Therefore, Anna jogged 82/100 mile farther than Katie.