To multiply a mixed number by a whole number, follow these simple steps:
- Convert the Mixed Number: First, convert the mixed number into an improper fraction. To do this, multiply the whole number part by the denominator, then add the numerator. Place this result over the original denominator. For example, for the mixed number 2 1/3:
2 × 3 + 1 = 6 + 1 = 7, so 2 1/3 becomes 7/3.
- Multiply: Next, multiply the improper fraction you just created by the whole number. For instance, if we multiply 7/3 by 4:
7/3 × 4 = 28/3.
- Convert Back to a Mixed Number (if necessary): If you need to express your answer as a mixed number, divide the numerator by the denominator. In this case, 28 ÷ 3 equals 9 with a remainder of 1, so you can express 28/3 as 9 1/3.
Therefore, 2 1/3 multiplied by 4 equals 9 1/3.
By following these steps, you can successfully multiply any mixed number by a whole number easily!