Grade 6Math

Adding Fractions with Different Denominators

Adding Fractions with Different Denominators is a skill on Pengi from Lesson 2: Adding Rational Numbers in Big Ideas Math, Advanced 1.

Key Concepts

To add fractions with the same denominator, combine the numerators: $\frac{a}{b} + \frac{c}{b} = \frac{a+c}{b}$.

To add fractions with different denominators, first find a common denominator ($bd$): $$\frac{a}{b} + \frac{c}{d} = \frac{ad}{bd} + \frac{cb}{bd} = \frac{ad + cb}{bd}$$.

Common Questions

What is Adding Fractions with Different Denominators?

Adding Fractions with Different Denominators is a skill on Pengi from Lesson 2: Adding Rational Numbers in Big Ideas Math, Advanced 1.

What grade level is Adding Fractions with Different Denominators for?

Adding Fractions with Different Denominators is part of the Grade 6 Math curriculum, covered in Big Ideas Math, Advanced 1. It is designed for students studying Math at the Grade 6 level.

How can I learn Adding Fractions with Different Denominators?

Pengi offers an AI-guided lesson for Adding Fractions with Different Denominators that walks you through the key concepts step by step. The lesson is aligned to Big Ideas Math, Advanced 1 so the content matches what you see in class.

How do I practice Adding Fractions with Different Denominators?

After learning the concept, use the Practice mode to work through targeted exercises on Adding Fractions with Different Denominators. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.

Which textbook covers Adding Fractions with Different Denominators?

Adding Fractions with Different Denominators is covered in Big Ideas Math, Advanced 1, specifically in Chapter 12: Rational Numbers under Lesson 2: Adding Rational Numbers. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.

Is Adding Fractions with Different Denominators free to study on Pengi?

Yes, the core Learn and Practice modes for Adding Fractions with Different Denominators are available for free on Pengi. No credit card is required to start studying.