Lesson

Can you identify the size of a fraction using a model ? Let's do a practice problem to review.

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.

Equivalent fractions are fractions that have the same value, even though they might look different. This video will explain more.

Write \dfrac{7}{10} as an equivalent fraction out of 100:

\dfrac{7}{10}\, = \,\dfrac{⬚}{100}

Worked Solution

Idea summary

Equivalent fractions represent the same size, but have different numerators and denominators.

To find an equivalent fraction we can multiply the numerator and denominator by the same number.

This video looks at equivalent fractions in fraction families.

Fill in the blank to find an equivalent fraction to \dfrac{1}{3}:

\dfrac{1}{3}= \dfrac{⬚}{6}

Worked Solution

This video looks at equivalent fractions to whole numbers.

Fill in the blank to find an equivalent fraction to 5:

5= \dfrac{⬚}{2}

Worked Solution

Idea summary

Equivalent fractions look different but have the same value.

You need to multiply or divide both the numerator and the denominator of a fraction by the same number to work out the equivalent fraction.