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Introduction

QUICK LINKS


Introduction

INTRO
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Decimals are just another way of writing fractions. To convert any decimal to a fraction, we put the decimal part over a power of , where the number of 's is equal to the number of digits after the decimal point.
For example, is like saying we have out of :
The more digits our decimal has, the more 0's our denominator has. So, is like saying we have out of :
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about converting decimals to fractions and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

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CALCULATOR
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Decimal to Fraction Calculator

Step 1. Identify the whole part and the decimal part of the number.

For now, we'll keep the negative sign on the outside and ignore it.

Step 2. Convert the decimal part to a fraction.

The numerator is the decimal part. The denominator is followed by ’s, where the number of 's is equal to the number of digits after the decimal point.
KEY STEPS
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How to Convert Decimals to Fractions

Step 1. Identify the whole part and the decimal part of the number.

If there's a negative sign, ignore it for now.

Step 2. Convert the decimal part to a fraction.

The numerator is the decimal part. The denominator is followed by ’s, where the number of 's is equal to the number of digits after the decimal point.

Step 3. Simplify the fraction

Step 4. Add the whole number to the simplified fraction.

We can write this fraction as either a mixed number or as an improper fraction.

Mixed Number

Improper Fraction

So our answer is
LESSON
β€” Converting Decimals to Fractions

Converting Decimals to Fractions

Just like Miles Morales and Spiderman are the same person with two different names, decimals and fractions are just two different ways of saying the same number.

To convert a decimal to a fraction, we just need to write the decimal part divided by followed by s, where the number of s is equal to the number of digits after the decimal point.
Let’s walk through some example problems!

EXAMPLE 1

Let's start by converting this decimal to a fraction:

Step 1. Identify the whole part and the decimal part of the number.

For now, we'll keep the negative sign on the outside and ignore it.

Step 2. Convert the decimal part to a fraction.

The numerator is the decimal part. The denominator is followed by ’s, where the number of 's is equal to the number of digits after the decimal point.

Step 3. Simplify the fraction

Step 4. Add the whole number to the simplified fraction.

Since our whole number is , we'll just drop it. So our answer is

EXAMPLE 2

Nice work! Now, let's convert this decimal to a fraction:

Step 1. Identify the whole part and the decimal part of the number.

For now, we'll keep the negative sign on the outside and ignore it.

Step 2. Convert the decimal part to a fraction.

The numerator is the decimal part. The denominator is followed by ’s, where the number of 's is equal to the number of digits after the decimal point.

Step 3. Simplify the fraction

Step 4. Add the whole number to the simplified fraction.

We can write this fraction as either a mixed number or as an improper fraction:

Mixed Number

Improper Fraction

So our answer is

EXAMPLE 3

Amazing! Last problem - let's convert this decimal to a fraction:

Step 1. Identify the whole part and the decimal part of the number.

For now, we'll keep the negative sign on the outside and ignore it.

Step 2. Convert the decimal part to a fraction.

The numerator is the decimal part. The denominator is followed by ’s, where the number of 's is equal to the number of digits after the decimal point.

Step 3. Simplify the fraction

Step 4. Add the whole number to the simplified fraction.

We can write this fraction as either a mixed number or as an improper fraction:

Mixed Number

Improper Fraction

And, now we can drop the parentheses and bring the negative back. So our answer is
Awesome! If you’d like to practice additional problems converting decimals to fractions, expand the
Practice
below before closing out this lesson! ⚑
PRACTICE
β€” Converting Decimals to Fractions

Practice: Converting Decimals to Fractions

Question 1 of 10: Convert to a fraction.

Step 1. Identify the whole part and the decimal part of the number.

For now, we'll keep the negative sign on the outside and ignore it.

Step 2. Convert the decimal part to a fraction.

The numerator is the decimal part. The denominator is 1 followed by 0’s, where the number of 0’s is equal to the number of digits in the numerator.

Step 3. Simplify the fraction

Our fraction can't be simplified any further, so we can continue to Step 4.

Step 4. Add the whole number to the simplified fraction.

We can write this fraction as either a mixed number or as an improper fraction:

Mixed Number


Improper Fraction


Nice work!
Great job! Our answer is

CONCLUSION
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Incredible job, look at you go! Thanks for checking out this lesson β˜ΊοΈπŸ™. Where to next?