Name:______

Pre-Algebra 5.0 ~ Note Sheets

Chapter 5 Lessons 1 and 3 – 7

Rational Numbers – Decimals and Fractions

Lesson One: To write fractions as terminating or repeating decimals and to

compare fractions and decimals

Terminating decimals: .

.

.

.

Mixed number: .

.

Repeating decimal: .

.

Bar notation: .

.

Examples:

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

1.  / 2.  / 3. 
4.  / 5.  / 6. 


Lesson Three: To multiply fractions

Examples: Simplify each problem, THEN multiply straight across.

1.  / 2. 
/ 3. 
/ 4. 
5.  / 6. 
/ 7. 
/ 8. 


Lesson Four: To divide fractions using multiplicative inverses

Multiplicative inverse or Reciprocal: .

.

Examples:

What is the Reciprocal or Multiplicative Inverse of the following numbers?

1.  / 2.  / 3. 

Show your KCF problem, THEN Simplify each problem, THEN multiply straight across.

4.  / 5.  / 6. 
7.  / 8.  / 9. 


Lesson Five: To add and subtract like fractions

Examples: Add then Simplify.

1.  / 2. 
3.  / 4. 
5.  / 6. 


Lesson Six: To find the least common multiple (LCM) and to find the least

common denominator

Least Common Multiple (LCM): .

.

Least common denominator for fractions: .

.

Examples:

Find the Least Common Multiple (LCM) of each set of numbers or monomials. Show your ladder method work.

1.  4 , 10 / 2.  14 , 28
3.  2 , 9 / 4.  9 , 12 , 15

Find the Least Common Multiple (LCM) of each set of numbers or monomials. Show your ladder method work.

5.  / 6. 

Find the Least Common Denominator (LCD) of each pair of fractions. Show your ladder method work. Then write two equivalent fractions.

7.  / 8. 

Replace each _____ with , , or = to make the statement true.

9.  / 10. 


Lesson Seven: To add and subtract unlike fractions

Examples: Find the Common Denominator of each pair of fractions. Then write two equivalent fractions. Next, ADD your two fractions with common denominators together. Finally, SIMPLIFY, if possible.

1.  / 2. 
3.  / 4. 
5.  / 6.