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5.09 Multiples of unit fractions

Lesson

Are you ready?

Let's recall how a unit fraction represents a part of a whole.

Here is a shape divided into parts, use it to answer the following questions.

  1. This shape has $\editable{}$ equal parts.

  2. If one part was shaded, that shaded part would be $\frac{\editable{}}{\editable{}}$ of the whole.

Learn

Fractions are made up of two numbers: a numerator (above the line), and a denominator (below the line). If the numerator is $1$1, the fraction is called a unit fraction. If the numerator is not $1$1, we can think of it as a multiple of $1$1, and then use this to think of the fraction as a multiple of a unit fraction:

Apply

Question 1

We are going to work out how to represent $4\times\frac{1}{3}$4×13 on the number line.

  1. Mark $\frac{1}{3}$13 on the number line.

    01

  2. Now mark $4\times\frac{1}{3}$4×13 on this number line.

    012

 

Remember!

Any fraction can be thought of as a multiple of a unit fraction:

$\frac{\text{numerator}}{\text{denominator}}=\text{numerator}\times\frac{1}{\text{denominator}}$numeratordenominator=numerator×1denominator

Outcomes

4.NF.4

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

4.NF.4.a

Understand a fraction a/b as a multiple of 1/b.

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