Adding Mixed Numbers with Unlike Denominators

Grade 5 Mathematics Florida B.E.S.T. Standards Aligned Building Number Sense Together

Today's Learning Goal

I can add mixed numbers with unlike denominators I will use what I know about equivalent fractions I will solve step-by-step with clear strategies I will check my work to make sure it makes sense

Key Vocabulary

Mixed Number: A whole number and a fraction together (like 2 1/3) Unlike Denominators: Different bottom numbers in fractions Equivalent Fractions: Fractions that show the same amount Common Denominator: The same bottom number for all fractions

Remember This!

Before we can add fractions, they need to have the same denominator - just like we need the same units to add things together!

Step-by-Step Process

I Do: Teacher Model

Let's solve: 2 1/4 + 1 1/3 Step 1: Find common denominator (4 and 3 → 12) Step 2: 2 3/12 + 1 4/12 Step 3: Add whole numbers (2+1=3) and fractions (3/12 + 4/12 = 7/12) Answer: 3 7/12

We Do: Guided Practice

Work together to solve: 1 1/2 + 2 1/6 Think-Pair-Share your strategy Use fraction strips if helpful Check: Does our answer make sense?

Differentiated Practice

{"left":"ESOL/Below Level: Use fraction strips and start with easier denominators like 2, 4, 6\nOn Level: Solve 2-3 problems with various denominators independently","right":"Advanced: Create your own word problems and solve them\nExtension: Try problems where the answer needs to be simplified"}

Real-World Connection

Maria baked for 1 1/4 hours in the morning and 2 1/3 hours in the afternoon. How long did she bake in total?

Exit Ticket: Check Your Understanding

Solve: 1 1/3 + 2 1/6 = ? Explain one step in your own words What was challenging today? What strategy helped you most?