What are Equivalent Ratios?

What are Equivalent Ratios?

Note:

Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equivalent ratios.

Keywords:

  • definition
  • equivalent ratio
  • equivalent
  • ratio
  • same ratios
  • same value
  • reduce

Background Tutorials

  • Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

      • What's a Ratio?What's a Ratio?

      What's a Ratio?

      Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!

  • Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

      • How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

      How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

      This tutorial uses something called a factor tree to find the greatest common factor of two numbers. Creating a factor tree for a number makes it easier to find its prime factors. These prime factors are used to help find the greatest common factor. Watch this tutorial and learn how to find the greatest common factor using a factor tree.

  • Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

      • What's a Proportion?What's a Proportion?

      What's a Proportion?

      The idea of proportions is that a ratio can be written in many ways and still be equal to the same value. That's why proportions are actually equations with equal ratios. This is a bit of a tricky definition, so make sure to watch the tutorial!

Further Exploration

  • Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

      • How Do You Find Equivalent Ratios?How Do You Find Equivalent Ratios?

      How Do You Find Equivalent Ratios?

      Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio. Equivalent ratios have different numbers but represent the same relationship. In this tutorial, you'll see how to find equivalent ratios by first writing the given ratio as a fraction. Take a look!