# How to Break Fractions and Mixed Numbers Apart to Add or Subtract

When you're dealing with fractions and mixed numbers, it's often useful to break them apart to simplify the process of adding or subtracting.

## A Step-by-step Guide to Breaking Fractions and Mixed Numbers Apart to Add or Subtract

Here’s a step-by-step guide to breaking down fractions and mixed numbers to add or subtract:

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

A mixed number is a whole number combined with a fraction. To convert it into an improper fraction:

- Multiply the whole number by the denominator of the fraction.
- Add the numerator of the fraction to that product.
- The result is your new numerator, with the denominator staying the same.

For example, let’s convert the mixed number \(2 \frac{3}{4}\) to an improper fraction:

- Multiply 2 (the whole number) by 4 (the denominator): 2 * 4 = 8
- Add 3 (the numerator): \(8 + 3 = 11\)
- So, \(2 \frac{3}{4}\) as an improper fraction is \( \frac{11}{4}\).

**The Absolute Best Book for 4th Grade Students**

### Step 2: Make sure the fractions have a common denominator

If the fractions have different denominators, you’ll need to find the least common denominator (LCD). Multiply the numerator and denominator of each fraction by whatever number will make the denominator equal to the LCD.

For example, if you’re adding \( \frac{1}{2}\) and \( \frac{2}{3}\), the LCD is 6. Multiply the numerator and denominator of \( \frac{1}{2}\) by 3 to get \( \frac{3}{6}\), and multiply the numerator and denominator of \( \frac{2}{3}\) by 2 to get \( \frac{4}{6}\).

**The Best Math Books for Elementary Students**

## Related to This Article

### More math articles

- The World of Separable Differential Equations
- Can the CBEST Test be Waived?
- Algebra Puzzle – Challenge 51
- The Ultimate ISTEP Algebra 1 Course (+FREE Worksheets)
- Let’s Make Math Education Relevant for Real Life
- 8th Grade IAR Math Worksheets: FREE & Printable
- How to Solve Multiplication Rule for Probabilities?
- How to Evaluate One Variable? (+FREE Worksheet!)
- The Ultimate Precalculus Course (+FREE Worksheets & Tests)
- How to Solve the Frequency Distribution Table?

## What people say about "How to Break Fractions and Mixed Numbers Apart to Add or Subtract - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.