Question

Please Explain/Show Your Work! Thank You!

Answer 1

Answer:

5 7/8

Step-by-step explanation:

She needs the sum of all those days to equal 22 miles.  The easiest thing to do is to convert those mixed fractions to improper, then use the LCD to get rid of all the fractions altogether.

Those improper fractions are:

$\frac{19}{4}+\frac{41}{8}+\frac{25}{4}+x=22$

with x being the number of miles she has to run on Friday, the unknown we are solving for.

The LCD of those denominators is 8, so we will multiply every single term by 8 to get rid of the fractions, leaving us with:

38 + 41 + 50 + 8x = 176 and

129 + 8x = 176 so

8x = 47 and

x = 47/8 which is

5 7/8 in mixed form