5. Fractions

Lesson

Remembering how to add and subtract fractions is going to help us in this lesson. Let's try this problem to review.

Find the value of \dfrac{4}{7} - \dfrac{3}{7}.

Worked Solution

Idea summary

Adding or subtracting fractions **with the same denominator** is very similar to adding or subtracting with whole numbers. The difference is we are counting fraction parts instead.

This video will look at how to compare statements using the less than and greater than symbols.

Write the symbol, >, \, <, or =, to make the statement true.\dfrac{5}{19} + \dfrac{6}{19}\, ⬚ \,\dfrac{7}{19}

Worked Solution

Idea summary

When comparing fractions, if the denominators are the same, then we can compare the numerators.

This video will show us how to compare statements that have mixed numbers.

Write the symbol, >, \, <, or =, to make the statement true.1 \dfrac{2}{6} + 3 \dfrac{3}{6} \, ⬚ \, 4 \dfrac{4}{6}

Worked Solution

Idea summary

When comparing mixed numbers which have equal whole number parts, we can just compare the fractional parts.

Now we will look at writing number sentences from story problems.

Paul had travelled one eighth of the distance to school when he realised he had forgotten his squash racquet and so went home to get it.

Complete the number sentence that describes how far in total Paul has travelled by the time he arrives back at home:

Paul has travelled ⬚ eighth plus ⬚ eighth of the distance between his home and school.

Worked Solution

Idea summary

Underline the key words in the story to help understand the mathematics.

A number sentence is a way to represent the mathematics with symbols.

compares, orders and calculates with fractions, decimals and percentages