Multiplying Mixed Numbers: 1 1/4 x 1 1/3
Multiplying mixed numbers can seem daunting at first, but it's actually a straightforward process. Here's how to multiply 1 1/4 x 1 1/3 and express the answer as a fraction:
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator (4). This gives us 5/4.
- 1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). Keep the same denominator (3). This gives us 4/3.
Step 2: Multiply the Numerators and Denominators
Now that we have improper fractions, we can simply multiply the numerators and the denominators:
- (5/4) x (4/3) = (5 x 4) / (4 x 3)
Step 3: Simplify the Result
- (5 x 4) / (4 x 3) = 20/12
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:
- 20/12 = (20/4) / (12/4) = 5/3
Final Answer:
Therefore, 1 1/4 x 1 1/3 = 5/3 or 1 2/3 as a mixed number.