Скачать или смотреть Solve Proportions (Techniques Explained)

Welcome to Mario's Math Tutoring! In this video, you're going to learn how to work with proportions and solve for missing values. Proportions are a fundamental concept in math, representing a ratio equal to another ratio (essentially, a fraction equal to another fraction).

We'll explore different techniques for solving proportions, including using equivalent fractions and the powerful method of cross multiplication (also known as the cross product). You'll see how to handle various types of problems, including those with binomials in the denominator, making sure you're equipped to tackle any proportion challenge!

In this video, you'll learn:

What a proportion is and how it's defined.
How to solve proportions by finding equivalent fractions (multiplying/dividing numerator and denominator by the same number).
The cross multiplication (cross product) method for solving proportions.
How to simplify fractions before cross multiplying to make calculations easier.
Solving proportions that involve binomial expressions in the denominator, requiring the distributive property.
Tips for checking your answers to ensure accuracy.
Timestamps:

0:00 Introduction to Proportions
0:20 What is a Proportion? (Ratio = Ratio)
0:40 Method 1: Using Equivalent Fractions (Multiplying/Dividing)
1:20 Example 1: Solving 1/12 = X/48 using Equivalent Fractions
2:10 Method 2: Cross Multiplication (Cross Product)
2:50 Tip: Reduce Fractions First Before Cross Multiplying
3:10 Example 2: Solving 15/24 = 45/X using Cross Multiplication
4:50 Example 3: Solving Proportions with Binomials in the Denominator
5:30 Distributing when Cross Multiplying
6:20 Solving the Algebraic Equation for X
6:50 Conclusion & Call to Action
Mastering proportions is a key skill for pre-algebra and algebra. If you found this video helpful, please give it a thumbs up and subscribe to Mario's Math Tutoring for more math lessons!

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