1/3 x 1/3 as a fraction
Understand the Problem
The question is asking to multiply the fractions 1/3 and 1/3 and express the result as a fraction. This will involve applying the rule for multiplying fractions, which is to multiply the numerators together and the denominators together.
Answer
The answer is \( \frac{1}{9} \).
Answer for screen readers
The result of multiplying ( \frac{1}{3} ) and ( \frac{1}{3} ) is ( \frac{1}{9} ).
Steps to Solve
- Multiply the Numerators
To multiply the fractions, we begin by multiplying the numerators together. For the fractions ( \frac{1}{3} ) and ( \frac{1}{3} ), the numerators are both 1.
So, we can perform the multiplication: $$ 1 \times 1 = 1 $$
- Multiply the Denominators
Next, we need to multiply the denominators together. The denominators for both fractions are 3.
Thus, we calculate: $$ 3 \times 3 = 9 $$
- Combine the Results
Now, we combine the results of our multiplications. The result is formed by putting the product of the numerators over the product of the denominators: $$ \frac{1}{9} $$
The result of multiplying ( \frac{1}{3} ) and ( \frac{1}{3} ) is ( \frac{1}{9} ).
More Information
When multiplying fractions, the straightforward method of multiplying the numerators and denominators ensures that the operation remains simple and effective. This example illustrates how the area of a square (with side length ( \frac{1}{3} )) can be related to the area when both dimensions are halved, leading to ( \frac{1}{9} ).
Tips
- Not multiplying both the numerators and the denominators correctly.
- Forgetting to simplify the fraction, although in this case ( \frac{1}{9} ) is already in simplest form.
