Converting Fractions to Decimals | Fractions | Year 3 Maths

What you need to know

Things to remember:

\dfrac{1}{4} = 0.25

\dfrac{1}{2} = 0.5

\dfrac{3}{4} = 0.75

Money is made up of two parts, pounds and pence, and can be written as a decimal. So, money can be written in two ways:

£5 and 23p or £5.23

The nicest fraction out of the three is \dfrac{1}{2}.

We know that two 50p coins is the same as having a £1, so half of £1 is 50p. We can write 50p as a decimal like this:

50p = £0.50

So, we can say:

\frac{1}{2} = 0.50=0.5

Now, moving on to \dfrac{1}{4}.

If I cut a cake in half, but I wanted to cut it into quarters, so I wanted 4 pieces, what would I do to it next? Cut it in half again! So, to get a quarter of £1, we need to cut the 50p in half again.

Half of 50p is 25p, and 25p as a decimal is £0.25, so we can write a quarter as:

\frac{1}{4} = 0.25

Finally, let’s move on to \frac{3}{4}.

We just saw that \frac{1}{4} = 0.25, but we don’t want 1 of them we want 3:



So, we can say:

\frac{3}{4} = 0.75

Example Questions

\frac{1}{4} = 0.25

\frac{3}{4} = 0.75

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