11/2 x 3 1/5 = 4 2/5 make an equivalent equation

To make an equivalent equation, let's break this down step by step:

We are given:
\[
\frac{11}{2} \times 3 \frac{1}{5} = 4 \frac{2}{5}
\]

### Step 1: Convert mixed numbers to improper fractions.

For \( 3 \frac{1}{5} \):
\[
3 \frac{1}{5} = \frac{3 \times 5 + 1}{5} = \frac{16}{5}
\]

For \( 4 \frac{2}{5} \):
\[
4 \frac{2}{5} = \frac{4 \times 5 + 2}{5} = \frac{22}{5}
\]

### Step 2: Rewrite the equation using improper fractions.

Now, substitute the mixed numbers with improper fractions:
\[
\frac{11}{2} \times \frac{16}{5} = \frac{22}{5}
\]

### Step 3: Create an equivalent equation.

One possible equivalent equation is:
\[
\frac{11}{2} \times \frac{16}{5} = \frac{22}{5}
\]

Would you like more details on how I arrived at this, or do you have any questions?

### Related Questions:
1. How do you convert mixed numbers to improper fractions?
2. How can you simplify a fraction multiplied by another fraction?
3. What are other examples of equivalent equations for mixed numbers?
4. Can you show more examples of solving fraction multiplications?
5. How do you convert improper fractions back into mixed numbers?

### Tip:
When multiplying fractions, multiply the numerators together and the denominators together for an easy solution!

Learn how to convert mixed numbers to improper fractions and solve the equation 11/2 x 3 1/5 = 4 2/5 step-by-step. This guide covers multiplication of fractions and finding equivalent equations. Suitable for Grades 5-7.

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