Multiplying Mixed Numbers: 1 1/2 x 2 1/3
This article will guide you through multiplying two mixed numbers, specifically 1 1/2 x 2 1/3.
Converting Mixed Numbers to Fractions
The first step is to convert the mixed numbers into improper fractions. To do this, we multiply the whole number by the denominator and add the numerator. The denominator remains the same.
- 1 1/2 becomes (1 x 2) + 1 / 2 = 3/2
- 2 1/3 becomes (2 x 3) + 1 / 3 = 7/3
Multiplying Fractions
Now that we have improper fractions, we can multiply them:
(3/2) x (7/3)
To multiply fractions, we simply multiply the numerators and the denominators:
(3 x 7) / (2 x 3) = 21/6
Simplifying and Converting Back to a Mixed Number
The resulting fraction, 21/6, can be simplified. Both the numerator and denominator are divisible by 3:
21/6 = 7/2
Finally, convert the improper fraction back to a mixed number. Divide the numerator by the denominator: 7 divided by 2 equals 3 with a remainder of 1.
7/2 = 3 1/2
Therefore, 1 1/2 x 2 1/3 = 3 1/2.