Multiply Mixed Numbers: 3 4/6 × 2 2/4 Step-by-Step Solution

Simplifying fractions like $\frac{4}{6}$ to $\frac{2}{3}$ makes the numbers smaller and easier to work with. It also reduces the chance of making calculation errors when converting to improper fractions.

Not recommended! While there's a formula for multiplying mixed numbers directly, converting to improper fractions first is much clearer and less error-prone for most students.

Use this simple pattern: "Multiply, Add, Keep"

• Multiply the whole number by the denominator
• Add the numerator
• Keep the same denominator

For $3\frac{2}{3}$: (3×3) + 2 = 11, so $\frac{11}{3}$

Always convert improper fractions back to mixed numbers for the final answer! Divide the numerator by the denominator: the quotient becomes the whole number, and the remainder becomes the new numerator.

Try these verification methods:

• Estimate: $3\frac{2}{3} \times 2\frac{1}{2}$ is about 4 × 2.5 = 10, close to $9\frac{1}{6}$ ✓
• Convert back: Check that $\frac{55}{6} = 9\frac{1}{6}$ by doing 55 ÷ 6 = 9 R1

When multiplying fractions, the result doesn't have to be a whole number! Since we're multiplying parts of wholes, we often get fractional results. That's completely normal and correct.