Find: c. `(2)/(3)` of 2 years

Answer

To solve the problem of finding \( \frac{2}{3} \) of 2 years, we can follow these steps:

### Step 1: Convert years to months
First, we need to convert 2 years into months. Since 1 year is equal to 12 months, we can calculate:
\[ 2 \text{ years} = 2 \times 12 \text{ months} = 24 \text{ months} \]

### Step 2: Calculate \( \frac{2}{3} \) of 24 months
Next, we need to find \( \frac{2}{3} \) of 24 months. We can do this by multiplying:
\[ \frac{2}{3} \times 24 = \frac{2 \times 24}{3} \]

### Step 3: Simplify the multiplication
Now, we can simplify \( \frac{2 \times 24}{3} \):
\[ \frac{2 \times 24}{3} = \frac{48}{3} \]

### Step 4: Divide to find the result
Now, we divide 48 by 3:
\[ \frac{48}{3} = 16 \text{ months} \]

### Step 5: Convert months back to years and months
Finally, we convert 16 months back into years and months. Since 1 year is 12 months:
- 16 months contains 1 year (which is 12 months) and 4 months remaining.

Thus, we can express 16 months as:
\[ 1 \text{ year} \text{ and } 4 \text{ months} \]

### Final Answer
Therefore, \( \frac{2}{3} \) of 2 years is equal to **1 year and 4 months**.

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