5.01 Name and identify fractions
Ideas
Are you ready?
We've used fraction bars to help us name and identify fractions before. Let's try this problem to help us remember.
Examples
Example 1
Which of the following shows \dfrac{1}{10} of the area of the shape shaded?
The numerator (top number) is the number of parts shaded to represent the fraction.
The denominator (bottom number) is the number of equal parts the shape is divided into.
Area models
This video shows how to name and identify fractions using area models.
Examples
Example 2
What fraction of the square is shaded blue?
A fraction from an area model can be written as:\,\, \dfrac{\text{Number of shaded parts}}{\text{Total number of parts}}
Identify fractions using number lines
This video shows how to name and identify fractions using number lines.
Examples
Example 3
Plot \dfrac{1}{10} on the number line.
When plotting a fraction on a number line:
the denominator (bottom number) shows how many parts there should be between each whole number.
the numerator (top number) shows the number of parts to move to the right from the previous whole number.
Mixed numbers and improper fractions
This video shows how to change a fraction written as a mixed number to an improper fraction, and also going the other way.
Examples
Example 4
Rewrite \dfrac{17}{4} as a mixed number.
To convert an improper fraction to a mixed number:
Divide the numerator by the denominator.
The number of times the denominator goes into the numerator is the whole part of the mixed number.
The remainder is the numerator of the mixed number.
The denominator stays the same.
To convert a mixed number to an improper fraction:
Multiply the denominator and whole part.
Add the numerator to the result.
The final result is the new numerator.
The denominator stays the same.