Step by step
The question
Question: write 9/20 as a decimal.
1 Make the bottom 10, 100 or 1000
A decimal is tenths, hundredths, thousandths.
So we want a bottom of 10, 100 or 1000.
20 times 5 is 100.
We multiply the top and the bottom by 5.
5/5 is 1, so the value stays the same.
9 times 5 is 45.
So we get 45/100.
2 Write the decimal
100 has 2 zeros.
So the decimal has 2 digits after the point.
45 hundredths is 0.45.
3 Check
Let's check: the decimal times the bottom should give the top.
0.45 times 20.
Forget the points: 45 times 20 is 900.
The numbers have 2 digits after the point.
So the answer has 2 too: 9.00, which is 9.
We get 9, the top.
So the answer is right!
Let's look back.
First: make the bottom 10, 100 or 1000.
Then: write the decimal.
Last: check.