Multiplying Mixed Numbers: 1 1/3 x 2
Multiplying a mixed number by a whole number can seem daunting, but it's actually quite simple. Let's break down how to multiply 1 1/3 x 2.
1. Convert the mixed number to an improper fraction.
- Multiply the whole number and the denominator: 1 x 3 = 3
- Add the numerator: 3 + 1 = 4
- Keep the same denominator: 4/3
Now our problem is: 4/3 x 2
2. Convert the whole number to a fraction.
- Any whole number can be written as a fraction with a denominator of 1. So, 2 is the same as 2/1.
Now our problem is: 4/3 x 2/1
3. Multiply the numerators and the denominators.
- Numerators: 4 x 2 = 8
- Denominators: 3 x 1 = 3
Our answer is 8/3.
4. Simplify to a mixed number (optional).
- Divide the numerator by the denominator: 8 ÷ 3 = 2 with a remainder of 2.
- The quotient (2) becomes the whole number part of the mixed number.
- The remainder (2) becomes the numerator of the fraction.
- The denominator stays the same: 2 2/3
Therefore, 1 1/3 x 2 = 8/3 or 2 2/3.