Step by step
The question
Question: compare 3/8 and 0.375.
1 Write it as a decimal
To compare, we write every number the same way: as a decimal.
A decimal is tenths, hundredths or thousandths.
8 times 125 is 1000.
So we multiply the top and the bottom by 125.
375 thousandths is 0.375.
So 3/8 is 0.375.
2 Compare
Now both have 3 digits after the point.
So we can forget the point and compare them like whole numbers: 375 = 375.
3 Write the answer
They are the same number: 3/8 = 0.375.
Neither one is bigger.
4 Check
Let's check on a number line.
Smaller numbers are further to the left.
We put a dot for each number.
Both land on the same place: 0.375.
So they are the same number.
The answer is right!
Let's look back.
First: write it as a decimal.
Then: compare.
Then: write the answer.
Last: check.