Solve the equation w - the mixed number 5 2/5 = the mixed number 3 1/4.

Question

A. w = 2 3/20
B. w = 8 3/9
C. w = 8 13/20
D. w = 8 3/20
Thank you so much!

Answer 1

To solve this equation, we need to subtract the mixed numbers on the left side of the equation by first converting them into improper fractions.

Mixed number 5 2/5 as an improper fraction:
5 x 5 = 25
25 + 2 = 27
27/5

Mixed number 3 1/4 as an improper fraction:
3 x 4 = 12
12 + 1 = 13
13/4

Now the equation becomes:
w - 27/5 = 13/4

To find the value of w, we need to isolate w by adding 27/5 to both sides of the equation:
w = 27/5 + 13/4

To add the fractions, we need to find a common denominator, which is 20 in this case:
w = (27*4)/(5*4) + (13*5)/(4*5)
w = 108/20 + 65/20
w = 173/20

Now we need to convert the improper fraction 173/20 back to a mixed number:
20 goes into 173 8 times with a remainder of 13
So, w = 8 13/20

Therefore, the correct answer is:
C. w = 8 13/20