Multiplying Mixed Numbers: 1 1/3 x 1 3/4
This article will guide you through the process of multiplying the mixed numbers 1 1/3 and 1 3/4, resulting in a simplified fraction.
Converting Mixed Numbers to Improper Fractions
Before multiplying, we need to convert the mixed numbers into improper fractions.

1 1/3: Multiply the whole number (1) by the denominator (3), then add the numerator (1), and keep the same denominator. (1 x 3) + 1 = 4, so 1 1/3 is equivalent to 4/3.

1 3/4: Multiply the whole number (1) by the denominator (4), then add the numerator (3), and keep the same denominator. (1 x 4) + 3 = 7, so 1 3/4 is equivalent to 7/4.
Multiplying Fractions
Now we can multiply the improper fractions:
(4/3) x (7/4) = (4 x 7) / (3 x 4) = 28/12
Simplifying the Fraction
The fraction 28/12 can be simplified by finding the greatest common factor (GCF) of 28 and 12. The GCF is 4. Divide both the numerator and denominator by 4:
28/12 = (28 ÷ 4) / (12 ÷ 4) = 7/3
Conclusion
Therefore, 1 1/3 x 1 3/4 is equal to 7/3. This can also be expressed as the mixed number 2 1/3.