Multiplying a mixed number by a whole number may seem tricky at first, but it’s really a straightforward process when you break it down step by step. A mixed number consists of a whole part and a fractional part, such as 2 1/3. Here’s how you can do it:
- Convert the Mixed Number into an Improper Fraction: To make the multiplication easier, first convert the mixed number into an improper fraction. You do this by multiplying the whole number by the denominator of the fraction and then adding the numerator. For example, for the mixed number 2 1/3:
- Multiply the whole number (2) by the denominator (3): 2 × 3 = 6
- Add the numerator (1) to that result: 6 + 1 = 7
So, 2 1/3 can be expressed as the improper fraction 7/3.
- Multiply the Improper Fraction by the Whole Number: Now that you have the improper fraction, multiply it by the whole number. For instance, if you want to multiply 2 1/3 by the whole number 4, you perform the multiplication like this:
- 7/3 × 4 = 28/3
- Convert Back to a Mixed Number (if necessary): If you want your answer in mixed number form, convert 28/3 back to a mixed number. Divide the numerator by the denominator:
- 28 ÷ 3 = 9 remainder 1,
- This means you have 9 whole parts and a remainder of 1, which forms the fraction part.
- So, 28/3 can be expressed as 9 1/3.
- 28 ÷ 3 = 9 remainder 1,
In conclusion, to multiply a mixed number by a whole number, convert the mixed number to an improper fraction, multiply, and then convert back to a mixed number if needed. With practice, this method will become second nature!