lesson

Find one part, then several

1 · Learn

To find 3/8 of 40, first divide 40 by 8. One eighth is 5. Then take three parts: 3 × 5 = 15.

Sometimes a fraction of an amount is known and you need the whole. If 1/4 of a set is 6, all four quarters make 24. Decide which amount is the whole before calculating.

3/8 of 40 = 151/4 of 24 = 6
Key words and supplied examples.

2 · Worked example

If 2/5 of a collection is 12, one fifth is 6, so five fifths are 30.

3 · Your turn

Find 5/6 of 42. If 1/3 of a length is 8 cm, find the whole length.

Check your answer

35; 24 cm.

4 · Apply your learning

Represent each problem with an equal-part bar and label the known and unknown amounts.

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Use practical or drawn representations and explain the method. Check units and labels. A correct answer to one example is not evidence of secure fluency; revisit with varied numbers and feedback.

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