Question

The Martinez family walked three over five of a mile in three over eight of an hour. What is their unit rate in miles per hour?

three-fifths over three-eights equals one and three-fifths miles per hour

three-eighths over three-fifths equals one and three-fifths miles per hour

three-eighths over three-fifths equals five over eight miles per hour

three-fifths over three-eights equals five over eight miles per hour




Please with explanation

Answer 1

Three-fifths over three-eights equals one and three-fifths miles per hour

Answer 2

three-fifths over three-eights equals one and three-fifths miles per hour

Explanation:

• The martinez family walked three over five of a mile; this means they walked 3/5 of a mile.
• They walked such distance in in three over eight of an hour, this means 3/8 of an hour.

To find the rate in miles per hour, we have to divide 3/5 divided 3/8.

`(3)/(5) /(3)/(8)`

TO make division of fraction, we must invert the second fraction and multiply them:

`(3)/(5) *(8)/(3) =(8)/(5)`

The ratio is 8/5 miles per hour. In the answer given it is expressed as a mixed numer 1 3/5 that is equal to 8/5.

To transform a fraction to a mixed number, you have to divide numerator by denominator. Explanation is in figure attached.