Steply

Compare 3/8 and 0.375

Step by step, with the reason for every step · Comparing and ordering numbers · Foundations

Step by step

The question

Question: compare 3/8 and 0.375.

38 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.

= 38 = 3 × 1258 × 125 = 3751000 = 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.

= 0.375 = 0.375
375 = 375

3 Write the answer

They are the same number: 3/8 = 0.375.

Neither one is bigger.

= 38 = 0.375

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!

one dot: the same number

Let's look back.

First: write it as a decimal.

Then: compare.

Then: write the answer.

Last: check.

Answer
= 38 = 0.375

Your turn

Try this one yourself, then check:

58 and 0.625
Show the answer
58 = 0.625

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