Fraction-Decimal Equivalents

Recognise and write decimal equivalents of 1/4, 1/2, and 3/4

ages 8 to 98 practice questionsvideo included

What a learner can do afterwards

State that 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75
Match fractions to decimals in a sorting activity
Explain why 1/4 = 25/100 = 0.25 using a hundredths grid

The lesson

You already know how to write hundredths as decimals, like 0.47 for 47 hundredths. Some fractions turn into decimals you will see all the time: 1/2, 1/4, and 3/4.

Tap to shade 1 of the 4 parts.

This bar has 4 equal parts. Shading 1 part is 1/4, or 25 hundredths, written 0.25.

Try it together

A recipe calls for 3/4 cup of flour. Split the cup into 4 equal parts and shade 3 of them. Each part is 25 hundredths, so 3 parts make 75 hundredths: 3/4 = 0.75.

Tap to shade 3 of the 4 parts.

Good to know

Learn these three by heart: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75. They show up everywhere, from money to recipes.

1/2, 1/4, and 3/4 always equal 0.5, 0.25, and 0.75.

Watch it

Where it sits

Learn first

Equivalent fractions on a number line Decimal equivalents of tenths and hundredths

This opens up

Percentage and decimal equivalents

Where this leads

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

Baker Chef Dancer Music Producer Musician

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.