Answer:
[tex]\displaystyle 2\ \frac{1}{4}[/tex]
Step-by-step explanation:
Fractions
They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.
Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.
The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.
The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like
[tex]\displaystyle 11+\frac{1}{4}=\frac{45}{4}[/tex]
This improper fraction will now be divided by 5 to find the average of 5 runs:
[tex]\displaystyle \frac{\frac{45}{4}}{5}=\frac{9}{4}[/tex]
We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus
[tex]\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}[/tex]
