Let's Multiply Mixed Numbers: 1 2/3 x 3 1/2
This article will guide you through multiplying the mixed numbers 1 2/3 and 3 1/2.
Understanding Mixed Numbers
Before we start, remember that a mixed number represents a whole number plus a fraction. For example, 1 2/3 is the same as 1 + 2/3.
Converting to Improper Fractions
The easiest way to multiply mixed numbers is to convert them into improper fractions. Here's how:
- 1 2/3: Multiply the whole number (1) by the denominator (3), and add the numerator (2). Keep the same denominator. This gives us (1*3 + 2)/3 = 5/3.
- 3 1/2: Multiply the whole number (3) by the denominator (2), and add the numerator (1). Keep the same denominator. This gives us (3*2 + 1)/2 = 7/2.
Multiplication of Improper Fractions
Now we can multiply our improper fractions:
5/3 x 7/2
To multiply fractions, we simply multiply the numerators and the denominators:
(5 x 7) / (3 x 2) = 35/6
Converting Back to a Mixed Number
Finally, we convert our answer, 35/6, back into a mixed number:
- Divide the numerator (35) by the denominator (6). The quotient is 5 with a remainder of 5.
- Our answer is 5 5/6.
Conclusion
Therefore, 1 2/3 x 3 1/2 = 5 5/6. By converting mixed numbers to improper fractions, we can easily multiply them.