Multiply. 3 5/9 x 6 Write your answer as a mixed number in simplest form.

To multiply \( 3 \frac{5}{9} \times 6 \), follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
Convert \( 3 \frac{5}{9} \) to an improper fraction:

\[
3 \frac{5}{9} = \frac{(3 \times 9) + 5}{9} = \frac{27 + 5}{9} = \frac{32}{9}
\]

### Step 2: Multiply the improper fraction by 6.
Now, multiply \( \frac{32}{9} \) by 6:

\[
\frac{32}{9} \times 6 = \frac{32 \times 6}{9} = \frac{192}{9}
\]

### Step 3: Simplify the fraction.
Simplify \( \frac{192}{9} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

\[
\frac{192 \div 3}{9 \div 3} = \frac{64}{3}
\]

### Step 4: Convert the improper fraction to a mixed number.
Now, convert \( \frac{64}{3} \) to a mixed number:

\[
64 \div 3 = 21 \text{ remainder } 1
\]

So, \( \frac{64}{3} = 21 \frac{1}{3} \).

### Final Answer: 
The product of \( 3 \frac{5}{9} \times 6 \) is \( 21 \frac{1}{3} \).

Would you like more details or have any questions?

Here are five related questions to consider:
1. How do you convert a mixed number to an improper fraction?
2. What steps are involved in simplifying fractions?
3. How do you multiply a fraction by a whole number?
4. What is the GCD and how do you find it for two numbers?
5. How can improper fractions be converted back into mixed numbers?

**Tip:** Always simplify fractions after multiplication to ensure your answer is in its simplest form.

Learn how to multiply the mixed number 3 5/9 by 6 and write the result as a mixed number in its simplest form. Follow the step-by-step conversion, multiplication, and simplification process. This lesson is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation