Study Guide: Converting Fractions to
Decimals
Overview
This guide will help you understand how to convert fractions into
decimal form. We'll cover the basic steps, examples, and special
cases like repeating decimals.
Steps to Convert a Fraction to a Decimal
1. Divide the Numerator by the Denominator:
To convert a fraction, simply divide the top number (numerator) by the bottom number
(denominator).
2 2
Example: For the fraction , divide 2 by 5. This gives you 0.4, which is equal to ,
5 5
2. Use Long Division if Necessary:
If the numerator is smaller than the denominator, extend the division by adding a decimal point
and zeros.
9
Example: For , you can't divide 9 by 25 directly. Instead, think of it as 90 (adding a decimal
25
9
and a zero). You find that = 0 .36
25
3. Rounding:
Sometimes, you may need to round your answer to a specific decimal place.
3
Example: When converting , the decimal is approximately 0.188, which rounds to 0.188
16
Special Cases
o Repeating Decimals:
1
Some fractions result in repeating decimals. For instance, gives 0.333..., which can be written
3
as 0.3 to indicate that the 3 repeats indefinitely
o Improper Fractions:
If the numerator is larger than the denominator, the result will be greater than 1. For example
17
, =1.545454... can be rounded to 1.545 or expressed as 1.54
11
Examples
Fraction | Decimal Conversion | Rounded Result
Decimals
Overview
This guide will help you understand how to convert fractions into
decimal form. We'll cover the basic steps, examples, and special
cases like repeating decimals.
Steps to Convert a Fraction to a Decimal
1. Divide the Numerator by the Denominator:
To convert a fraction, simply divide the top number (numerator) by the bottom number
(denominator).
2 2
Example: For the fraction , divide 2 by 5. This gives you 0.4, which is equal to ,
5 5
2. Use Long Division if Necessary:
If the numerator is smaller than the denominator, extend the division by adding a decimal point
and zeros.
9
Example: For , you can't divide 9 by 25 directly. Instead, think of it as 90 (adding a decimal
25
9
and a zero). You find that = 0 .36
25
3. Rounding:
Sometimes, you may need to round your answer to a specific decimal place.
3
Example: When converting , the decimal is approximately 0.188, which rounds to 0.188
16
Special Cases
o Repeating Decimals:
1
Some fractions result in repeating decimals. For instance, gives 0.333..., which can be written
3
as 0.3 to indicate that the 3 repeats indefinitely
o Improper Fractions:
If the numerator is larger than the denominator, the result will be greater than 1. For example
17
, =1.545454... can be rounded to 1.545 or expressed as 1.54
11
Examples
Fraction | Decimal Conversion | Rounded Result
