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