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Fractions of a whole (age 8+)

Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)

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What a learner can do afterwards

  • Write 5 as 5/1 and explain why
  • Locate 4/4 and 1 at the same point on a number line
  • Identify which fractions from a list equal a whole number: 6/3, 8/4, 5/2

The lesson

You already know how to shade parts of a whole to make a fraction. Now let's write whole numbers as fractions too. Put the whole number on top and a 1 on the bottom. So 6 becomes 6/1, and 9 becomes 9/1.

Try it together

Mia has 3 apples. Each apple is one whole apple, not a part of one. So as a fraction, that's 3 wholes over 1, or 3/1.

Tap each apple and count out loud.
Tap to shade 4 of the 4 parts.
All 4 parts are shaded, so 4/4 is the same as 1 whole.
Good to know

Here's a quick check: if the top number divides evenly by the bottom number, the fraction is a whole number. 8/4 = 2 because 8 divided by 4 is exactly 2. And any number over 1, like 6/1, always equals that number.

A whole number written over 1 is still that number, and a fraction where the top divides evenly by the bottom is a whole number too.

Watch it

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Fractions of a whole (age 8+) · Mathematics, ages 8 to 9 · LightMySky