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

  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.

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.
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