All About FractionsBy: Dalton and Carter

Chapter 1. Adding & Subtracting With Common DenominatorsChapter 2. Dividing Fractions With ReciprocalsChapter 3. Multiplying FractionsChapter 4. ReducingChapter 5. Mixed Numbers & Improper FractionsChapter 6. Review-Word Problems

Table of contents

Before you try to add or subtract fractions, you have to find common denominators. You do that by finding the lowest common multiple (LCM). If you don’t know how to do that then you have to multiply the two denominators together. Make sure you multiply the numerator by the number you multiplied the denominator by. After that you have to either add or subtract the two numerators. Don’t add the denominators. Example: First: 3 x 2 =6 which is both denominators. Then: 1 x 2 = 2 and 1 x 3 =3 so +. Second example : you subtract the 2 from the 5. 5-2=3 and your denominators would stay the same. Therefore your answer is Third example: = . Once again there are common denominators so you would have to just add the numerators. 3+3=6 so 6 would be your numerator. Your denominator stays the same. Forth example:= To find

Adding And Subtracting With Common

Denominators

the common denominators you multiply 4 and 5 together. 4x5=20 so 20 would be your common denominator. Since you multiplied the 5 by 4 you have to multiply 4 by 4. 4x4=16 so 16 is your new numerator. Since you multiplied 4 by 5 you have to multiply 3 by 5. 3x5=15 so that is the new numerator.

1. 6/7 – 1/2 2. 3/5 + 2/3 3. 8/15 – 4/12 4. 7/11 + 6/12 5. 8/13 -5/10 6.8/12 -6/9 7.4/5 -3/4

8.4/5 +3/4 9. 6/7 + ¾ 10. 5/6 +2/3

Practice Adding /Subtracting

In this section you will be learning how to reciprocate a fraction when trying to divide. First you will need your regular problem. If your problem would be you would first find the the he reciprocal. A reciprocal is when you flop the denominator in a fraction to the numerator. The numerator would become the denominator. Only do this to the number you are dividing by. Then you change the division sign to a multiplication sign and multiply . can be reduced down to 1 . That would be your final answer. Second Example: = =

Dividing With Reciprocal

1. 3/4 2/3 2. 5/6 / ¾ 3. 6/7 / 4/5 4. 7/8 / 5/6

2. 5. 8/9 /6/7 6. 9/10 / 7/8 7. 10/11 / 8/9 8. 11/12 / 9/10

3. 9. 12/13 / 10/11 10. 13/14 / 11/12

Practice Problems

To multiply fractions all you have to do is multiply the numerators together and the denominators together. For example if you have the problem you would multiply 3 by 1 to get your final numerator. To get your final denominator you would multiply 4 by 2. Therefore your answer would be . Second Example: to get this answer you would do the same thing you did above. If you do this your answer would be . This fraction can be reduced to .

Multiplying Fractions

1. 1/2 x 2/3 2. 2/3 x ¾ 3. ¾ x 4/5 4. 4/5 x 5/6 5. 5/6 x 6/7 6. 6/7 x 7/8 7. 7/8 x 8/9 8. 8/9 x 9/10 9. 9/10 x 10/11 10. 10/11 x 11/12

Practice Problems

To reduce fractions you find the greatest common factor and divide both the numerator and denominator by that number. For example

Reducing Fractions

1. 2/4 2. 6/9 3. 2/6 4. 2/12 5. 12/24 6. 6/18 7. 18/20 8. 16/18 9. 10/24 10. 6/24

Practice Problems Reducing

An improper fraction is a fraction where the numerator is larger than the denominator .An example of an improper fraction is . A mixed number is a number that is greater than one and each whole number is written to the side of a fraction . An example of a mixed number is 1 .

Mixed Numbers And Improper Fractions

1. 6/5 2. 8/4 3. 3/2 4. 7/3 5. 24/10 6. 9/7 7. 12/5 8. 4/3 9. 5/1 10. 9/3

Practice Problems

Section 1. 1.5/14 2. 1 and 4/15 3. 1/15 4. 1 and

3/22 5. 3/26 6. 0 7. 1/20 8. 1 and 11/20 9. 1 and 17/28

10. 1 and ½ Section 2. 1. 1 and 1/18 2. 1 and 1/19 3. 1 and 1/14

4. 1 and 1/20 5.1 and 1/27 6. 1 and 1/35 7. 1 and 1/44 8. 1 and 1/54

9. 1 and 1/65 10. 1 and 1/77

Answer Sheet

Section 3. 1. 1/3 2. ¾ 3. 3/5 4. 2/3 5. 5/7 6. ¾ 7. 7/9 8.

4/5 9. 9/11 10. 5/6

Section 4. 1. 1/3 2. 2/3 3. 1/3 4. 1/6 5. ½. 6. 1/3 7. 9/10 8.

8/9 9. 5/12 10. ¼ Section 5. 1. 5/6 2. 4/8 3. 2/5 4. 3/7 5. 10/24 6. 7/9 7. 5/12

8. ¾ 9. 1/4 10. 3/9

Section 6 1. 3/16 2. 10 and ½ 3. 2/3 4. ½ 5. ¼

6. 5/18 7. 11 and ¼ 8. 4/12 9. 2/3 10. no

Improper Fraction- A fraction whose numerator is equal to or larger than the denominator.

Mixed Numbers- A number that contains an integer and a fraction.

Addition- The operation of combining numbers so you can obtain an equivalent simple quantity.

Subtraction- The operation of taking an amount away from another number.

Multiplication- The operation of adding an integer to itself a multiple number of times.

Glossary

Division- To separate into two or more parts, areas, or groups.

Operation- Performance of practical work or of something involving the practical application of process.

Reciprocal- The acting of changing the numerator to the denominator.

Reduce- To narrow the size of a number or a fraction.

Common Denominator- You find the greatest common factor of the two denominators.

Glossary

Reduce- pg. 10Mixed Numbers/ Improper Fractions- pg 11Reciprocals- pg. 6Common Denominators- pg. 3Adding-pg. 3Subtracting-pg. 3Multiplying- pg. 8Dividing- pg. 6Word Problems- pg. 13,14,15

Index