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Solving proportions 2
Proportions 2 256
Description
Exercise Name: Solving proportions 2
Math Missions: 7th grade (U.S.) Math Mission, Algebra basics Math Mission
Types of Problems: 1

The topic Solving proportions 2 appears under the 7th grade (U.S.) Math Mission and Algebra basics Math Mission. This exercise solves equations where two ratios are equal. An equation where two ratios are equal is called a proportion.

Types of Problems

There is one type of problem in this exercise:

  1. Solve the proportion: This problem gives a proportion and the student is asked to find the solution and provide it in the space.
    P2-1-too

    Solve the proportion

Strategies

Cross-multiplication is a common approach to solving proportions and will work on this problem.

  1. Cross-multiplication is justified by the properties of equality. It says that \frac{a}{b}=\frac{c}{d} is equivalent to ad=bc.
  2. These proportions can be completed by finding the common multiple for one ratio to the other. Either the numerators or the denominators are related by a multiple and the other one of these must also be same multiple. Recognizing that multiple can streamline the calculation and increase efficiency.

Real-life Applications

  1. Businesses can use proportions to figure out how much money they will earn if they sell more products.

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