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Write 2.6 as a fraction

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

Step by step

The question

Question: write 2.6 as a fraction.

2.6

1 Read the place value

2.6 has 1 digit after the point.

The last digit is in the tenths.

So we write it over 10.

1 digit after the point → over 10

2.6 is 26 tenths: 26/10.

= 2610

2 Simplify

26 and 10 can both be divided by 2.

That makes it simpler.

= 26 ÷ 210 ÷ 2

So it is 13/5.

= 135

Can we make it simpler?

No number goes into both 13 and 5, except 1.

So it stays like this.

simplest ✓

3 Write as a mixed number

13 divided by 5 is 2, with 3 left over.

So it is 2 and 3/5.

= 235

4 Check

Let's check: make the bottom 10 again.

13 times 2 is 26.

5 times 2 is 10.

26 tenths is 2.6.

So the answer is right!

Check: 135 = 13 × 25 × 2 = 2610 = 2.6

Let's look back.

First: read the place value.

Then: simplify.

Then: write as a mixed number.

Last: check.

Answer
= 235

Your turn

Try this one yourself, then check:

Write 1.5
Show the answer
1 12

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