To solve \( 12 \times 2 \, \frac{2}{3} \), first, let's convert the mixed number \( 2 \, \frac{2}{3} \) to an improper fraction:

\[
2 \, \frac{2}{3} = \frac{3 \times 2 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}
\]

Now, multiply 12 by \( \frac{8}{3} \):

\[
12 \times \frac{8}{3} = \frac{12 \times 8}{3} = \frac{96}{3} = 32
\]

So, \( 12 \times 2 \, \frac{2}{3} = 32 \).

Would you like more details on this? Here are 5 related questions to deepen your understanding:

1. How do you convert any mixed number into an improper fraction?
2. What is the process for multiplying fractions by whole numbers?
3. How can this technique be applied to other mixed numbers?
4. What is the distributive property, and how does it relate to multiplying mixed numbers?
5. Can you explain how to simplify complex fractions?

**Tip**: Always simplify fractions and convert mixed numbers before multiplying to avoid mistakes!

Learn how to multiply the whole number 12 by the mixed number 2 2/3. This step-by-step solution shows how to convert mixed numbers into improper fractions and perform the multiplication. Ideal for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation