In this lesson, we will learn about fractions, how to compare unit fractions, how to compare fractions with the same numerator but different denominators, how to compare fractions using a benchmark fraction and equivalent fractions.

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**Fractions**

Definition:

A proper fraction is a number that represents part of a whole region, set or length.

Characteristics:

• part of a region, set or length

• the numerator counts the part

• the denominator shows what is counted

• the denominator divides the whole into equal parts

• equal parts of a region have the same size but not necessarily the same shape

• equal parts of a set have the same number of objects

The following is a sample Frayer Model of a fraction.

**Comparing Fractions**

Fractions can only be compared if the whole is
known in each situation. When fractions have the same denominator,
the one with the larger numerator is greater.

A unit fraction has a numerator 1. Therefore with a unit
fraction, the larger the denominator the smaller the fraction part.

Compare fractions using a benchmark fraction--Lesson 1 of 4

In this lesson, you will learn how to compare fractions with different numerators and denominators to the benchmark fraction of one half by using number lines.

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with greater than, less than and equal symbols, and justify the conclusions, e.g., by using a visual fraction model.

In this video, you will learn how to compare fractions with different numerators and denominators to the benchmark fraction of one half by using area models.

In this lesson, you will learn how to compare fractions with different numerators and denominators to the benchmark fraction of 1 by using number lines.

In this lesson, you will learn how to compare fractions with different numerators and denominators to the benchmark fraction of 1 by using area models.

Understand and explain equivalent fractions using fraction models (part 1)

In this video, you will learn to create equivalent fractions by multiplying both the numerator and denominator of a fraction by the same number and looking at an area model. The video will explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

In this video, you will learn to create equivalent fractions by multiplying both the numerator and denominator of a fraction by the same number and looking at number lines.

Using a pizza scenario

Anna placed candles on 3/6 of a set of cupcakes. Which fraction is equivalent 3/6?

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.