Multiplying Mixed Numbers: Finding the Product of 1 1/3 x 1 1/3
Multiplying mixed numbers can seem tricky, but it's really just a matter of breaking them down into simpler steps. Let's look at how to multiply 1 1/3 x 1 1/3 and express the answer as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/3: To convert this, multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. Keep the same denominator (3). So, 1 1/3 becomes 4/3.
- 1 1/3: We repeat the same process: (1 x 3) + 1 = 4. So, 1 1/3 becomes 4/3.
Step 2: Multiply the Fractions
Now we have: (4/3) x (4/3)
To multiply fractions, we simply multiply the numerators and the denominators:
- (4 x 4) / (3 x 3) = 16/9
Step 3: Simplify (if possible)
The fraction 16/9 is already in its simplest form.
Solution
Therefore, the product of 1 1/3 x 1 1/3 is 16/9.