To multiply the mixed number \( 3 \frac{2}{5} \) by \( \frac{1}{3} \), follow these steps:

1. Convert the mixed number \( 3 \frac{2}{5} \) into an improper fraction:
   \[
   3 \frac{2}{5} = \frac{3 \times 5 + 2}{5} = \frac{15 + 2}{5} = \frac{17}{5}
   \]

2. Multiply the improper fraction by \( \frac{1}{3} \):
   \[
   \frac{17}{5} \times \frac{1}{3} = \frac{17 \times 1}{5 \times 3} = \frac{17}{15}
   \]

So, the product of \( 3 \frac{2}{5} \times \frac{1}{3} \) is \( \frac{17}{15} \).

Now, let's convert \( \frac{17}{15} \) to a mixed number:

\[
\frac{17}{15} = 1 \frac{2}{15}
\]

So, the final answer as a mixed number is:

\[
1 \frac{2}{15}
\]

Would you like more details, or do you have any questions?

---

Here are 5 related questions:
1. How do you convert a mixed number to an improper fraction?
2. What are the steps to multiply two fractions?
3. How do you simplify a fraction after multiplication?
4. How do you convert an improper fraction back to a mixed number?
5. How can you check if a fraction is already in its simplest form?

**Tip:** When multiplying fractions, always simplify the fractions first if possible to make calculations easier.

Learn how to multiply the mixed number 3 2/5 by the fraction 1/3 with a detailed step-by-step solution. This problem covers key concepts including fractions, multiplication of fractions, mixed numbers, and improper fractions. Suitable 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