Grasp Maths

Year 4

Recognise and write decimal equivalents of any number of tenths or hundredths and recognise decimal equivalents to 14\frac{1}{4}, 12\frac{1}{2} and 34\frac{3}{4}

Link tenths and hundredths to decimal notation and connect familiar fractions to their decimal equivalents.

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Lesson overview

Number - fractions

Decimals and fractions can describe the same amount. Tenths can be written with one decimal place, and hundredths can be written with two decimal places. Some familiar fractions also have common decimal equivalents.

Tenths as decimals

310\frac{3}{10} is the same as 0.3.

One decimal place shows tenths.

Hundredths as decimals

47100\frac{47}{100} is the same as 0.47.

Two decimal places show hundredths.

Common fraction equivalents

12\frac{1}{2} = 0.5, 14\frac{1}{4} = 0.25 and 34\frac{3}{4} = 0.75.

These are useful decimal-fraction pairs to recognise quickly.

Worked example

Write the decimal equivalent of 610\frac{6}{10}.

  1. The fraction is in tenths.
  2. Tenths use one decimal place.
  3. 6 tenths is written as 0.6.
  4. So the decimal equivalent is 0.6.

Round 1: Learn it

Decide first whether the fraction is in tenths, hundredths or one of the common quarter fractions.

Finish this round to unlock Round 2: Show you know it.

Question 1

What is the decimal equivalent of 410\frac{4}{10}?

Question 2

What is the decimal equivalent of 35100\frac{35}{100}?

Question 3

Which decimal is equivalent to 12\frac{1}{2}?

Question 4

Write the decimal equivalent of 34\frac{3}{4}.

Question 5

Which fraction is equivalent to 0.25?

Common mistakes

Watch for these as you work through the lesson.

  • Putting the decimal point in the wrong place.
  • Mixing up tenths and hundredths.
  • Forgetting the common decimal equivalents for quarters and halves.

Related topics

These ideas connect closely to this lesson.

  • Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.
  • Recognise and show, using diagrams, families of common equivalent fractions.

Practice next

Independent practice will plug in here

This lesson teaches the pattern first. Deeper Year 4 practice can connect here later.