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.
Answer
12
Answer for screen readers
The product of $\frac{1}{3}$ and 36 is 12.
Steps to Solve
- Identify the multiplication operation
We need to multiply the fraction $\frac{1}{3}$ by the whole number $36$.
- Set up the multiplication
We can write the multiplication as: $$ \frac{1}{3} \times 36 $$
- Convert the whole number to a fraction
To facilitate multiplication, we convert the whole number to a fraction: $$ \frac{1}{3} \times \frac{36}{1} $$
- Multiply the numerators and the denominators
Now we can multiply across: $$ \frac{1 \times 36}{3 \times 1} = \frac{36}{3} $$
- Simplify the fraction
Next, we simplify $\frac{36}{3}$: $$ \frac{36}{3} = 12 $$
The product of $\frac{1}{3}$ and 36 is 12.
More Information
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.
Tips
- 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.
