Multiply Mixed Numbers Worksheet for Kids and Students

Multiplying Mixed Numbers: A Comprehensive Guide for Kids and Students

Multiplying mixed numbers can be a daunting task for kids and students, but with the right approach, it can become a breeze. In this article, we will provide a step-by-step guide on how to multiply mixed numbers, along with some practice exercises and worksheets to help reinforce the concept.

What are Mixed Numbers?

A mixed number is a combination of a whole number and a fraction. For example, 2 ¹⁄₃ is a mixed number, where 2 is the whole number and ¹⁄₃ is the fraction. Mixed numbers are used to represent quantities that are not whole, but are a combination of whole and fractional parts.

How to Multiply Mixed Numbers

Multiplying mixed numbers involves multiplying the whole number part and the fractional part separately, and then combining the results. Here are the steps to follow:

1. Multiply the whole number parts: Multiply the whole number parts of the two mixed numbers.
2. Multiply the fractional parts: Multiply the fractional parts of the two mixed numbers.
3. Multiply the whole number part by the fractional part: Multiply the whole number part of one mixed number by the fractional part of the other mixed number.
4. Add the results: Add the results of steps 1, 2, and 3 to get the final product.

🤔 Note: Make sure to multiply the whole number parts and the fractional parts separately, and then combine the results. This will ensure that you get the correct product.

Example 1: Multiplying Mixed Numbers

Suppose we want to multiply 2 ¹⁄₃ and 3 ¹⁄₂. Here’s how we can do it:

1. Multiply the whole number parts: 2 × 3 = 6
2. Multiply the fractional parts: ¹⁄₃ × ¹⁄₂ = ¹⁄₆
3. Multiply the whole number part by the fractional part: 2 × ¹⁄₂ = 1 and 3 × ¹⁄₃ = 1
4. Add the results: 6 + ¹⁄₆ + 1 + 1 = 8 ¹⁄₆

Therefore, 2 ¹⁄₃ × 3 ¹⁄₂ = 8 ¹⁄₆.

Example 2: Multiplying Mixed Numbers

Suppose we want to multiply 4 ²⁄₅ and 2 ³⁄₄. Here’s how we can do it:

1. Multiply the whole number parts: 4 × 2 = 8
2. Multiply the fractional parts: ²⁄₅ × ³⁄₄ = ⁶⁄₂₀
3. Multiply the whole number part by the fractional part: 4 × ³⁄₄ = 3 and 2 × ²⁄₅ = ⁴⁄₅
4. Add the results: 8 + ⁶⁄₂₀ + 3 + ⁴⁄₅ = 11 ¹⁴⁄₂₀

Therefore, 4 ²⁄₅ × 2 ³⁄₄ = 11 ¹⁴⁄₂₀.

Multiplying Mixed Numbers Worksheet

Here’s a worksheet with some practice exercises to help you reinforce your understanding of multiplying mixed numbers:

Conclusion

Multiplying mixed numbers can be a bit challenging, but with the right approach, it can become a straightforward process. By following the steps outlined in this article, you can become proficient in multiplying mixed numbers and solve problems with ease. Remember to multiply the whole number parts and the fractional parts separately, and then combine the results to get the final product.