8.04 Multiples of unit fractions
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.
This shape has $\editable{}$ equal parts.
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
We are going to work out how to represent $4\times\frac{1}{3}$4×13 on the number line.
Mark $\frac{1}{3}$13 on the number line.
Now mark $4\times\frac{1}{3}$4×13 on this number line.
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