 Grade 4 Math: Improper Fractions and Mixed Numbers, Part 1

Fractions as Parts of a Set

In this lesson, students learn to write fractions that represents the parts of a set.

The denominator is all objects in the set. The numerator is all the objects in a specified subset of the objects.

Improper Fractions and Mixed Numbers

Earlier, students learned three facts about fractions: 1) a fraction with a numerator less than the denominator represents a number that is less than one, 2) a fraction with a numerator equal to the denominator represents a fraction that is equal to one, and 3) a fraction with a numerator that is greater than the denominator represents a number that is greater than 1.

In this lesson, students extend their knowledge of these facts to learn the definition of proper and improper fractions and mixed numbers. Mixed numbers can also be referred to as mixed fractions.

A proper fraction is one in which the numerator is less than the denominator. An improper fraction is one in which the numerator is the same as, or greater than, the denominator.

A mixed number (mixed fraction) is an improper fraction written as a whole number and a fraction. Students learn that the format for writing a mixed number means that the value of the whole number and the fraction are added together.

Mixed Numbers from Text

In this lesson. students learn how to write mixed fractions with numbers when they’re given in words.

Improper Fractions and Whole Numbers

In this lesson, students learn about fractions that represent whole numbers other than one. In these fractions, the numerator is a multiple of the denominator.

The relationship between fractions of this type and whole numbers is illustrated on a number line.

Students learn to rewrite a fraction of this type as a whole number.

Writing Whole Numbers as Improper Fractions

In this lesson, students learn to rewrite whole numbers as fractions with a specified denominator.

They first rewrite the whole number as a fraction with a denominator of 1. They then use the concept of an equivalent fraction to rewrite the fraction with a denominator of 1 as an equivalent fraction with the specified denominator.

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