She ran 2 3/4 miles in 1/3 of an hour. What was her rate in miles per hour

Question

 Naomi is training for the Olympics.

Answer 1

First convert the distance she ran from a mixed number to a improper fraction:

• 2-3/4 equals 11/4.

Since this a unit rate problem divide the miles by the time traveled.

• 11/4 (miles) ÷ 1/3 (hour). When you divide a number by a fraction use (Keep-Change-Flip).
• 11/4 × 3/1 = 33/4 miles/hour. 
• Convert improper fraction to mixed number by dividing 33 by 4.
• 33/4 = 8-1/4 miles/ hour.

Answer 2

ran 2 3/4 miles in 1/3 of an hour

 

2 3/4 miles =11/4 miles in 1/3 of hour

 

11/4 miles   divided by 1/3 hr

 

11/4 ÷ 1/3

 

11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr