Mixed Numbers Explained

Understanding Mixed Numbers

A mixed number combines a whole number and a fraction, like

\large 2\frac{3}{4}

Mixed numbers come up all the time when working with fractions. Before multiplying or dividing, you will usually want to convert mixed numbers into improper fractions.

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How to Change a Mixed Number to an Improper Fraction

1. 1. Multiply the whole number by the denominator.
   2. Add the numerator.
   3. Place the answer over the original denominator.

Example: Convert a Mixed Number

Convert

\large 3\frac{2}{5}

to an improper fraction.

Step 1: Multiply the whole number by the denominator.

\large 3\times5=15

Step 2: Add the numerator.

\large 15+2=17

Step 3: Write the answer over the original denominator.

\large 3\frac{2}{5}=\frac{17}{5}

Another Example

Convert

\large 4\frac{1}{3}

to an improper fraction.

\large 4\times3=12

\large 12+1=13

\large 4\frac{1}{3}=\frac{13}{3}

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Watch How to Work with Mixed Numbers

Check out these lessons to watch John explain mixed numbers step-by-step.

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Common Mistakes

• Forgetting to multiply the whole number by the denominator first.
• Using the wrong denominator in the final answer.
• Adding the denominator instead of the numerator.

Need More Help with Fractions?

If you want more help with fractions, check out John’s full courses. They include clear instruction, practice problems, and step-by-step solution videos.

👉 Explore the Pre-Algebra Course
👉 Explore the Foundations Math Course