Add & Subtract Mixed Numbers with Like Denominators

Mixing whole numbers and fractions is fun when you know the tricks!

What Are Mixed Numbers?

A mixed number combines a whole number with a fraction!
Like having 2 whole pizzas and 3 slices from another pizza (where each pizza is cut into 8 slices). We'd write this as \(2\frac{3}{8}\).

How to Add/Subtract Mixed Numbers

1️⃣ Add/subtract the whole numbers separately

2️⃣ Add/subtract the fractions (denominators stay the same!)

3️⃣ Simplify if needed (convert improper fractions to mixed numbers)

Let's Practice Together!

Example 1: Adding Mixed Numbers

Solve: \(3\frac{2}{5} + 1\frac{3}{5} = ?\)

3 + 1 = ?

Step 1: Add whole numbers: 3 + 1 = 4

Step 2: Add fractions: \(\frac{2}{5} + \frac{3}{5} = \frac{5}{5}\)

Step 3: \(\frac{5}{5} = 1\), so we add this to our whole number: 4 + 1 = 5

Answer: \(5\)

Example 2: Subtracting Mixed Numbers

Solve: \(4\frac{7}{8} - 2\frac{3}{8} = ?\)

Step 1: Subtract whole numbers: 4 - 2 = 2

Step 2: Subtract fractions: \(\frac{7}{8} - \frac{3}{8} = \frac{4}{8}\)

Step 3: Simplify \(\frac{4}{8}\) to \(\frac{1}{2}\)

Answer: \(2\frac{1}{2}\)

Parent Tips 🌟

  • Kitchen Math: Use measuring cups to practice - "If we have 1¾ cups of flour and add 2¼ cups, how much do we have?"
  • Pizza Party: Draw pizzas or pies to visualize mixed numbers - coloring in the fractions makes it concrete.
  • Step by Step: Encourage your child to solve problems in steps (whole numbers first, then fractions) to avoid feeling overwhelmed.

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