# 1/3 times 36

#### Understand the Problem

The question is asking for the product of 1/3 and 36. This involves multiplying a fraction by a whole number.

12

The product of $\frac{1}{3}$ and 36 is 12.

#### Steps to Solve

1. Identify the multiplication operation

We need to multiply the fraction $\frac{1}{3}$ by the whole number $36$.

1. Set up the multiplication

We can write the multiplication as: $$\frac{1}{3} \times 36$$

1. Convert the whole number to a fraction

To facilitate multiplication, we convert the whole number to a fraction: $$\frac{1}{3} \times \frac{36}{1}$$

1. Multiply the numerators and the denominators

Now we can multiply across: $$\frac{1 \times 36}{3 \times 1} = \frac{36}{3}$$

1. Simplify the fraction

Next, we simplify $\frac{36}{3}$: $$\frac{36}{3} = 12$$

The product of $\frac{1}{3}$ and 36 is 12.

Multiplying a fraction by a whole number often involves converting the whole number to a fraction, which makes the multiplication simpler. In this case, simplifying the fraction $\frac{36}{3}$ resulted in the final answer of 12.
• A common mistake is forgetting to convert the whole number into a fraction before multiplying. Always remember to express the whole number as a fraction (e.g., $\frac{36}{1}$) for clarity.