Complex Fractions
Complex Fractions is a skill on Pengi from Lesson 4: More Operations on Fractions in Yoshiwara Intermediate Algebra.
Key Concepts
Property A fraction that contains one or more fractions in either its numerator or its denominator or both is called a complex fraction . Like simple fractions, complex fractions represent quotients. For example, $\frac{\frac{2}{3}}{\frac{5}{6}} = \frac{2}{3} \div \frac{5}{6}$.
To simplify a complex fraction: 1. Find the LCD of all the fractions contained in the complex fraction. 2. Multiply the numerator and the denominator of the complex fraction by the LCD. 3. Reduce the resulting simple fraction, if possible.
Examples To simplify $\frac{\frac{3}{4}}{\frac{7}{8}}$, we can treat it as a division: $\frac{3}{4} \div \frac{7}{8} = \frac{3}{4} \cdot \frac{8}{7} = \frac{24}{28} = \frac{6}{7}$.
Common Questions
What is Complex Fractions?
Complex Fractions is a skill on Pengi from Lesson 4: More Operations on Fractions in Yoshiwara Intermediate Algebra.
What grade level is Complex Fractions for?
Complex Fractions is part of the Grade 7 Math curriculum, covered in Yoshiwara Intermediate Algebra. It is designed for students studying Math at the Grade 7 level.
How can I learn Complex Fractions?
Pengi offers an AI-guided lesson for Complex Fractions that walks you through the key concepts step by step. The lesson is aligned to Yoshiwara Intermediate Algebra so the content matches what you see in class.
How do I practice Complex Fractions?
After learning the concept, use the Practice mode to work through targeted exercises on Complex Fractions. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Complex Fractions?
Complex Fractions is covered in Yoshiwara Intermediate Algebra, specifically in Chapter 8: Polynomial and Rational Functions under Lesson 4: More Operations on Fractions. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Complex Fractions free to study on Pengi?
Yes, the core Learn and Practice modes for Complex Fractions are available for free on Pengi. No credit card is required to start studying.