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Course: 4th grade>Unit 10

Lesson 7: Writing decimals as fractions

Writing decimals as fractions review

Review writing decimals as fractions, and try some practice problems.

Writing decimals as fractions

To convert a decimal to a fraction, we write the decimal number as a numerator and we write its place value as the denominator.
If there is a number to the left of the decimal point, we keep that number as a whole number.
Example 1: $0.07$
$0.07$ is $7$ ${\text{hundredths}}$. So, we write $7$ over $100$.
$0.07=\frac{7}{100}$
Example 1: $2.1$
$2.1$ is $2$ and $1$ ${\text{tenth}}$. $2$ stays a whole number. Then we write $1$ over $10$.
$2.1=2\frac{1}{10}$
Want to learn more about writing decimals as fractions? Check out this video.

Practice

Problem 1
Express $0.4$ as a fraction.

Want to try more problems like this? Check out this exercise.

Want to join the conversation?

• How would you express 5.03 as a fraction?
• The answer is 5 3/100 (mixed fraction) or 503/100 (improper fraction).
• hi can you upvote me?
• yes you have 6 upvotes! ;)
• I know 0.1 is 1 tenth. 0.01 is 1 hundredth. 0.001 is 1 thousandth. But what is 0.0001?
• .0001 is 1 ten thousandths.
• How can you express 18.7?
• 187 tenths, or 18 7/10.
• so say i had a question like convert 0.023 into a fraction. would it be 100 or 1000??
• You would convert that into the thousandths. The answer is 23/1000.
• How do you write a fraction? It keeps getting it wrong.
• You write a fraction using the "slash" symbol (/).

You place the numerator before the slash and denominator behind the same slash. So for example three fourths would be 3/4.

In case of mixed numbers you write the whole number and leave space for the fraction. So two and three fifths would be 2 3/5.

Hope this helps.