Final answer:
To find V in the equation V + 1/3 = 4 1/4, first convert the mixed number to an improper fraction (17/4), then subtract 1/3 from both sides, and simplify to get V = 47/12 or approximately 3.92.
Step-by-step explanation:
To solve for the variable V in the equation V + 1/3 = 4 1/4, we begin by converting the mixed number 4 1/4 to an improper fraction. The mixed number 4 1/4 is equal to 17/4 when converted to an improper fraction.
Next, we need to isolate the variable V by subtracting 1/3 from both sides of the equation. The updated equation becomes V = 17/4 - 1/3.
To subtract fractions, they must have a common denominator. We find that 12 is a common denominator for 4 and 3. So we convert 17/4 to 51/12 and 1/3 to 4/12. Now, we have V = 51/12 - 4/12.
Subtracting the fractions gives us V = 47/12.
So the value of V is 47/12, or in decimal form, approximately 3.92.