Understanding Mixed Numbers
Mixed numbers combine whole numbers and fractions!
A mixed number has a whole number part and a fractional part, like 2½. When we add or subtract mixed
numbers, we need to work with both parts carefully. Remember to keep your fractions with the same
denominator (bottom number) before calculating!
How to Solve Equations with Mixed Numbers
1️⃣ Convert mixed numbers to improper fractions if needed
2️⃣ Find a common denominator for the fractional parts
3️⃣ Calculate the whole numbers and fractions separately
4️⃣ Simplify your answer back to a mixed number
Let's Practice Together!
Example 1: Complete the addition sentence
What number is missing?
Let's solve step by step:
\(5\frac{3}{4} - 3\frac{1}{4} = (5-3) + \left(\frac{3}{4}-\frac{1}{4}\right) = 2 + \frac{2}{4} = 2\frac{1}{2}\)
The missing number is \(2\frac{1}{2}\)!
Example 2: Complete the subtraction sentence
What number is missing?
Let's solve step by step:
First convert to common denominator (6):
\(4\frac{4}{6} - ? = 1\frac{1}{6}\)
\( ? = 4\frac{4}{6} - 1\frac{1}{6} = (4-1) + \left(\frac{4}{6}-\frac{1}{6}\right) = 3 + \frac{3}{6} = 3\frac{1}{2}\)
The missing number is \(3\frac{1}{2}\)!
Parent Tips 🌟
- Kitchen Math: Use measuring cups to demonstrate adding and subtracting mixed numbers while cooking together.
- Visual Aids: Draw pizzas or pies divided into fractions to help visualize mixed number operations.
- Step-by-Step Checking: Encourage your child to solve problems by separating the whole numbers and fractions, then combining them at the end.