5. Fractions

Lesson

We've used fraction bars to help us name and identify fractions before. Let's try this problem to help us remember.

Which of the following shows \dfrac{1}{10} of the area of the shape shaded?

A

B

C

D

Worked Solution

Idea summary

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.

This video shows how to name and identify fractions using area models.

What fraction of the square is shaded blue?

Worked Solution

Idea summary

A fraction from an area model can be written as:\,\, \dfrac{\text{Number of shaded parts}}{\text{Total number of parts}}

This video shows how to name and identify fractions using number lines.

Plot \dfrac{1}{10} on the number line.

Worked Solution

Idea summary

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.

This video shows how to change a fraction written as a mixed number to an improper fraction, and also going the other way.

Rewrite \dfrac{17}{4} as a mixed number.

Worked Solution

Idea summary

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.