Multiplying Mixed Numbers: 1 1/3 x 1 3/4
This article will guide you through the steps of multiplying the mixed numbers 1 1/3 and 1 3/4.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives you 4. Keep the same denominator. So, 1 1/3 becomes 4/3.
- 1 3/4: Multiply the whole number (1) by the denominator (4) and add the numerator (3). This gives you 7. Keep the same denominator. So, 1 3/4 becomes 7/4.
Step 2: Multiply the Fractions
Now we have: (4/3) x (7/4)
To multiply fractions, simply multiply the numerators and the denominators:
(4 x 7) / (3 x 4) = 28/12
Step 3: Simplify the Result
The fraction 28/12 can be simplified. Both the numerator and denominator are divisible by 4:
28/12 = 7/3
Step 4: Convert Back to a Mixed Number (Optional)
The answer can be left as an improper fraction (7/3), or it can be converted back to a mixed number.
- Divide the numerator (7) by the denominator (3): 7 ÷ 3 = 2 with a remainder of 1.
- The quotient (2) becomes the whole number of the mixed number. The remainder (1) becomes the numerator of the fraction. The denominator stays the same.
Therefore, 7/3 is equivalent to 2 1/3.
Conclusion
Therefore, 1 1/3 times 1 3/4 is equal to 7/3 or 2 1/3.