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 fractional answer.
Converting Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers into improper fractions. To do this, we multiply the whole number by the denominator, add the numerator, and keep the same denominator.
- 1 1/3: (1 x 3) + 1 = 4. Therefore, 1 1/3 is equivalent to 4/3.
- 1 3/4: (1 x 4) + 3 = 7. Therefore, 1 3/4 is equivalent to 7/4.
Multiplying Improper Fractions
Now that we have both numbers as improper fractions, we can multiply them:
(4/3) x (7/4) = (4 x 7) / (3 x 4) = 28/12
Simplifying the Result
The fraction 28/12 can be simplified. We find the greatest common factor (GCF) of 28 and 12, which is 4. We divide both the numerator and denominator by 4:
28/12 = (28/4) / (12/4) = 7/3
Expressing as a Mixed Number (Optional)
If you prefer to express the answer as a mixed number, we can convert 7/3 back:
- 7 divided by 3 equals 2 with a remainder of 1.
- Therefore, 7/3 is equivalent to 2 1/3.
In conclusion, 1 1/3 times 1 3/4 is equal to 7/3 or 2 1/3.