Proportions
Proportions is a skill on Pengi from Lesson 5: Equations with Fractions in Yoshiwara Intermediate Algebra.
Key Concepts
Property A proportion is a statement that two ratios are equal. For example, $\frac{a}{b} = \frac{c}{d}$.
If $\frac{a}{b} = \frac{c}{d}$, then $ad = bc$, as long as $b, d \neq 0$. This shortcut is known as cross multiplying.
Examples To solve the proportion $\frac{8}{3} = \frac{x}{9}$, we can cross multiply. This gives $8 \cdot 9 = 3 \cdot x$, so $72 = 3x$. Dividing by 3, we find $x=24$.
Common Questions
What is Proportions?
Proportions is a skill on Pengi from Lesson 5: Equations with Fractions in Yoshiwara Intermediate Algebra.
What grade level is Proportions for?
Proportions 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 Proportions?
Pengi offers an AI-guided lesson for Proportions 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 Proportions?
After learning the concept, use the Practice mode to work through targeted exercises on Proportions. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Proportions?
Proportions is covered in Yoshiwara Intermediate Algebra, specifically in Chapter 8: Polynomial and Rational Functions under Lesson 5: Equations with Fractions. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Proportions free to study on Pengi?
Yes, the core Learn and Practice modes for Proportions are available for free on Pengi. No credit card is required to start studying.