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Write 1.25 as a fraction

Step by step, with the reason for every step · Fractions and decimals · Foundations

Step by step

The question

Question: write 1.25 as a fraction.

1.25

1 Read the place value

1.25 has 2 digits after the point.

The last digit is in the hundredths.

So we write it over 100.

2 digits after the point → over 100

1.25 is 125 hundredths: 125/100.

= 125100

2 Simplify

125 and 100 can both be divided by 25.

That makes it simpler.

= 125 ÷ 25100 ÷ 25

So it is 5/4.

= 54

Can we make it simpler?

No number goes into both 5 and 4, except 1.

So it stays like this.

simplest ✓

3 Write as a mixed number

5 divided by 4 is 1, with 1 left over.

So it is 1 and 1/4.

= 114

4 Check

Let's check: make the bottom 100 again.

5 times 25 is 125.

4 times 25 is 100.

125 hundredths is 1.25.

So the answer is right!

Check: 54 = 5 × 254 × 25 = 125100 = 1.25

Let's look back.

First: read the place value.

Then: simplify.

Then: write as a mixed number.

Last: check.

Answer
= 114

Your turn

Try this one yourself, then check:

Write 1.75
Show the answer
1 34

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