1. Fractions, Decimals, and Order of Operation
Section 5.5
Fractions,
Decimals, and
Order of Operation

2. Fraction → Decimal Steps Change mixed number to improper fraction.
Convert fraction into division format
Add a decimal to the end of the dividend (num)
Add zeros after the decimal
Perform long division

3. Examples
Given the fraction determine the decimal ⅔ 5¾ -2

4. Comparing Steps Write all numbers in decimal format.
Compare and place values in
Increasing order : smallest to largest
Decreasing order : largest to smallest
Use inequalities : < , >

5. Example
Write the numbers in increasing order

6. Example
Write the numbers in decreasing order

7. Example
Insert <, >, = to form a true statement

8. Example
Insert <, >, = to form a true statement

9. Order of Operation P E
M D
A S
One step per line per point

10. Example
Use order of operation to simplify the expression. (4 points)

11. Example
Use order of operation to simplify the expression. (6 points)

12. Word Problem
Find the Area and Perimeter

13. Word Problem
Find the Area.

14. Word Problem
In 2012, there were 11,434 commercial radio stations in the US. The most popular formats are listed in the table. Use the graph to answer the following questions.

15. Question 1
Write as a decimal the fraction of radio stations with a classic hits music format.
Round to the nearest thousandths.

16. Question 2
Write as a decimal the fraction of radio stations with a Spanish format.
Round to the nearest hundredths.