Lesson 3 Converting Between Fractions and Decimals 
Topic 1
Converting Fractions to Decimals
Procedure Converting Fractions to Decimals

Example
Problem
Procedure
Solution

Exercises
Convert fractions to decimals.
Topic 2
Converting Mixed Numbers to Decimals
Procedure Converting Mixed Numbers to Decimals When converting a mixed number such as 2 ^{3}/_{4} :

Example
ProblemProcedure
^{3}/_{8} = 0.375
Solution5 + 0.375 = 5.375

Exercises
Convert mixed numbers to decimals.
When converting fractions to decimals, you often find situations where there seems to be no end to the number of decimal places. For example, you will never find the end of the decimals when converting ^{2}/_{3} to a decimal fraction. Try it:
2 ÷ 3 = 0.6666666666...
It goes on for ever and ever. This is handled by rounding the decimal to a given place. Rounding this example to the thousandths place, we get 2 ÷ 3 = 0.667.
Example
Problem
Procedure

Exercises
Convert these fractions to decimal values. Round to the nearest hundredth (two decimal places) when necessary.
Topic 3
Converting Decimals to Fractions
Procedure To convert a decimal to a fraction:

Example
Problem
Procedure
Solution

Exercises
Convert these decimals to fractions. Simplify and reduce as necessary.
If you are having any trouble understanding the content of this lesson, you will benefit from a more detailed tutorial on the subject. 