Download presentation

Presentation is loading. Please wait.

1
**copyright©amberpasillas2010**

Add and Subtract Fractions copyright©amberpasillas2010

2
**3 4 Parts of a Fraction = the number of parts**

Add and Subtract Fractions Parts of a Fraction 3 = the number of parts 4 = the total number of parts that equal a whole copyright©amberpasillas2010

3
**3 4 Parts of a Fraction = numerator = denominator**

Add and Subtract Fractions Parts of a Fraction 3 = numerator 4 = denominator copyright©amberpasillas2010

4
**Add and Subtract Fractions**

A Common Multiple is a number that is a multiple of two or more numbers. Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42 copyright©amberpasillas2010

5
**Add and Subtract Fractions**

The LCM is the smallest multiple that two numbers have in common. 5 = 5, 10, 15, 20, 25, 30 6 = 6, 12, 18, 24, 30, 36 copyright©amberpasillas2010

6
**To Add or Subtract Fractions With Unlike Denominators**

Add and Subtract Fractions To Add or Subtract Fractions With Unlike Denominators List the multiples of each denominator to find the LCM. 1 5 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50 copyright©amberpasillas2010

7
**To Add or Subtract Fractions With Unlike Denominators**

Add and Subtract Fractions To Add or Subtract Fractions With Unlike Denominators Compare your lists. Which multiples do 5 and 10 have in common? 1 5 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50 copyright©amberpasillas2010

8
**To Add or Subtract Fractions With Unlike Denominators**

Add and Subtract Fractions To Add or Subtract Fractions With Unlike Denominators Use the lowest common multiple as the denominator. 1 5 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50 copyright©amberpasillas2010

9
**To Add or Subtract Fractions With Unlike Denominators**

Add and Subtract Fractions To Add or Subtract Fractions With Unlike Denominators This number is also called the least common denominator. 1 5 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50 copyright©amberpasillas2010

10
**Add and Subtract Fractions**

SHORTCUT: Check to see if the smaller denominator divides evenly into the larger denominator. If it does, use the larger denominator for your LCD or LCM. 1 5 will divide evenly into 10, so 10 is your denominator. 5 1 + 10 copyright©amberpasillas2010

11
**1 5 10 1 + 10 10 Add and Subtract Fractions**

Rewrite the fractions using the least common denominator or least common multiple. 1 5 10 1 + 10 10 copyright©amberpasillas2010

12
**Add and Subtract Fractions**

Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. You know that 1/10 is equal to 1/10 so Put a 1 over the Denominator of 10. 1 5 10 1 1 + 10 10 copyright©amberpasillas2010

13
**Add and Subtract Fractions**

Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. To find the top number, ask yourself what do you multiply the 5 by to get 10. 1 5 10 1 1 + 10 10 copyright©amberpasillas2010

14
**Add and Subtract Fractions**

Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 2 Since you are looking for the equivalent fraction you know the numerator must also be multiplied by 2. 1 x 2 = 5 10 x 2 1 1 + 10 10 copyright©amberpasillas2010

15
**2 1 5 10 1 1 + 10 10 Now just add the numerators. x 2 = x 2**

Add and Subtract Fractions Now just add the numerators. Remember when adding fractions you never add the denominators. 2 1 x 2 = 5 10 x 2 1 1 + 10 10 3 10 copyright©amberpasillas2010

16
**Add and Subtract Fractions**

Identity Property states that any number multiplied by one equals itself This is useful to know so you can find a common denominator for adding and subtracting fractions.

17
**1 2 8 1 + 8 8 Use the short cut to find the Least Common Denominator**

Add and Subtract Fractions Use the short cut to find the Least Common Denominator (LCD). 1 2 8 1 + 8 8 copyright©amberpasillas2010

18
**1 2 8 1 + 8 8 x 4 = x 1 = Now find the equivalent fractions for**

Add and Subtract Fractions Now find the equivalent fractions for 1/2 & 1/8. 1 2 8 x 4 = 1 + 8 x 1 = 8 Ask what do you multiply 2 by to get 8 and what do you multiply 8 by to get 8. copyright©amberpasillas2010

19
**1 4 2 8 1 + 8 8 x 4 = x 4 = x 1 = Since you are writing equivalent**

Add and Subtract Fractions Since you are writing equivalent fractions, now multiply the numerator by the same number you did on the denominator. 1 4 x 4 = 2 8 x 4 = 1 + 8 x 1 = 8 copyright©amberpasillas2010

20
**1 4 2 8 1 1 + 8 8 x 4 = x 4 = x 1 = x 1 = Since you are**

Add and Subtract Fractions Since you are writing equivalent fractions, now multiply the numerator by the same number you did on the denominator. 1 4 x 4 = 2 8 x 4 = 1 1 x 1 = + 8 x 1 = 8 copyright©amberpasillas2010

21
**1 4 2 8 1 1 + 8 8 5 8 x 4 = x 4 = x 1 = x 1 = Now add numerators.**

Add and Subtract Fractions Now add numerators. The denominator stays the same. 1 4 x 4 = 2 8 x 4 = 1 1 x 1 = + 8 x 1 = 8 5 8 copyright©amberpasillas2010

22
**2 5 15 1 + 3 15 Find the least least common multiple for 5**

Add and Subtract Fractions Find the least least common multiple for 5 and 3. Write it as your denominator 2 5 15 1 + 3 15 copyright©amberpasillas2010

23
**2 5 15 1 + 3 15 x 3 = x 5 = Ask yourself what do you multiply the**

Add and Subtract Fractions Ask yourself what do you multiply the denominator by to get 15. 2 5 15 x 3 = 1 + 3 x 5 = 15 copyright©amberpasillas2010

24
**2 6 5 15 1 + 3 15 x 3 = x 3 = x 5 = Multiply the numerator by the same**

Add and Subtract Fractions Multiply the numerator by the same number you did in the denominator 2 6 x 3 = 5 15 x 3 = 1 + 3 x 5 = 15 copyright©amberpasillas2010

25
**2 6 5 15 1 5 + 3 15 x 3 = x 3 = x 5 = x 5 = Multiply the numerator**

Add and Subtract Fractions Multiply the numerator by the same number you did in the denominator. 2 6 x 3 = 5 15 x 3 = 1 5 x 5 = + 3 x 5 = 15 copyright©amberpasillas2010

26
**Add and Subtract Fractions**

Add your numerators. The denominator stays the same. 2 6 x 3 = 5 15 x 3 = 1 5 x 5 = + 3 x 5 = 15 11 15 copyright©amberpasillas2010

27
**Add and Subtract Fractions**

1 2 x 2 = 6 12 x 2 = 1 3 x 3 = + 4 x 3 = 12 5 12 copyright©amberpasillas2010

28
**ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION!**

Add and Subtract Fractions ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION! 4 12 x 3 = 5 15 x 3 = 2 10 x 5 = + 3 x 5 = 15 22 15 copyright©amberpasillas2010

29
**1 7 15 22 15) 22 15 15 7 Add and Subtract Fractions**

ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION! copyright©amberpasillas2010

30
**Add and Subtract Fractions**

5 20 x 4 = 6 24 x 4 = 1 3 x 3 = - 8 x 3 = 24 17 24 copyright©amberpasillas2010

31
**Add and Subtract Fractions**

2 6 x 3 = 3 9 x 3 = 1 1 x 1 = - 9 x 1 = 9 5 9 copyright©amberpasillas2010

32
**Add and Subtract Fractions**

4 2 x 2 = 4 8 x 2 = 2 2 x 1 = + 8 x 1 = 8 6 3 = 8 4 copyright©amberpasillas2010

33
**Add and Subtract Fractions**

12 4 x 3 = 15 5 x 3 = 10 2 x 5 = - 15 3 x 5 = 2 15 copyright©amberpasillas2010

34
**REMEMBER: To Always Show Your Work and The Giant One!**

Add and Subtract Fractions REMEMBER: To Always Show Your Work and The Giant One! Take out your study guide!!! copyright©amberpasillas2010

35
**1 Add Fractions 12 4 15 5 10 2 + 3 15 22 15 #11 x 3 = x 3 = x 5 =**

Find a common denominator. 15 5 x 3 = 10 2 2) Add the numerators. x 5 = + 3 x 5 = 15 3) Keep the common denominator the same. 22 7 1 15 15 4) Simplify or reduce. Change improper fractions to mixed #s. 15) 22 15 7

36
**- Subtract Fractions 5 x 4 = 20 6 x 4 = 24 1 x 3 = 3 x 3 = 8 24 17 24**

#12 5 x 4 = 20 6 x 4 = 24 Always SHOW YOUR WORK! This includes the Giant One. 1 x 3 = 3 - x 3 = 8 24 17 Giant One 24

Similar presentations

OK

Copyright©amberpasillas2010. A mixed number has a part that is a whole number and a part that is a fraction. = 1 3 4.

Copyright©amberpasillas2010. A mixed number has a part that is a whole number and a part that is a fraction. = 1 3 4.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on resources and development class 10 cbse results Ppt on as 14 amalgamation process Ppt on area of parallelogram worksheets Ppt on girl child death in india Ppt on astronomy and astrophysics magazine Perfect competition long run ppt on tv Ppt on properties of triangles for class 7th Ppt on cloud computing services Ppt on power system stability pdf By appt only movie classics