Final answer:
To solve for y in the equation 1/3y = 4 5/6, convert 4 5/6 to an improper fraction (29/6), multiply both sides by 3 to cancel out the 1/3, and simplify the resulting fraction to find the value of y.
Step-by-step explanation:
The question involves solving an equation for the variable y. To find the solution for y, we need to isolate the variable on one side of the equation. We are given the equation 1/3y = 4 5/6, which can be interpreted as (1/3)y = 4 + 5/6. First, convert the mixed number 4 5/6 into an improper fraction. After that, multiply both sides of the equation by 3 (the reciprocal of 1/3) to solve for y.
Let's solve the equation step by step:
- Convert 4 5/6 to an improper fraction: (4 × 6) + 5 = 24 + 5 = 29, so 4 5/6 becomes 29/6.
- Multiply both sides of the equation by 3 to solve for y: (3) × (1/3)y = 3 × (29/6).
- On the left side, 3 and 1/3 are reciprocals, so they cancel each other out, leaving y.
- On the right side, multiply 3 by 29/6 to get y = 87/6.
- Simplify the fraction if possible to get the final answer for y.
Therefore, the solution of the equation is the value of y after the simplification.