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Adding, subtracting, multiplying, and dividing fractions
The document provides instructions for performing the four basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. For each operation, it explains the key steps, such as finding a common denominator for addition and subtraction, and "flipping and multiplying" for division. Examples are given to illustrate each procedure. The document emphasizes important rules like multiplying corresponding numerator and denominator terms when operating on fractions.
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Adding, subtracting, multiplying, and dividing fractions
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- 2. Not the properuse of fractions:
- 3. Adding Fractions Whenadding fractions the first step you need to know is the common denominator. In the problem ½ + ¼ what is the common denominator? The common denominator is 4 After finding the common denominator whatever you multiply the bottom number by you need to multiply the top by.
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- 5. Adding Fractions Yourproblem should then change to: 2/4 + 1/4 Now you add: 2/4 + 1/4 = 3/4 Then check to see if you can reduce the fraction. To reduce ¾ you need to find one number that can evenly go in to ¾. Can I reduce... NO!
- 6. Subtracting Fractions Subtractingfractions are similar to adding fractions. Your first step is to find a common denominator. In the problem ½ - ¼ what is the common denominator? The common denominator is 4 After finding the common denominator whatever you multiply the bottom number by you need to multiply the top by.
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- 8. Subtracting Fractions Yourproblem should then change to: 2/4 - 1/4 Now you subtract: 2/4 - 1/4 = 1/4 Can I reduce... NO!
- 9. Rule of Addingand Subtracting Fractions Remember one important rule of adding and subtracting fractions: Whatever you do to the bottom of the fraction, you must do to the top of the fraction. What this means is if you multiply the bottom number by 3 then you need to multiply the top number by 3.
- 10. Multiplying Fractions Multiplyinga fraction is the simplest of all fraction basics. In the problem ¾ x ¼ all you need to do is multiply straight across and then see if you can simplify your answer. ¾ x ¼ = 3/16
- 11. Can I reduce...NO! Multiplying Fractions
- 12. Dividing Fractions Dividingfractions is a lot like multiplying fractions, but there is one little trick. When you divide a fraction the rule is to flip the second fraction and multiply. Example: ¾ / ¼, I am going to flip the ¼ and change it to 4/1 and then multiply it by ¾. The problem should look like this 3/4 x 4/1.
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- 14. Dividing Fractions 3/4x 4/1 = 12/4 We know have an improper fraction for our answer. An improper is when the top number is larger then the bottom number. We need to change the improper fraction to a mixed number or a regular number. We do this by dividing 12 by 4.
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- 16. Dividing Fractions 12divided by 4 = 3, 3 will be your final answer.
- 17. Dividing Fractions Rememberthe most important rule of dividing fractions, is that you need to flip the second fraction and multiply. FLIP AND MULTIPLY
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- 19. Media Cited PizzaPicture: http://blog.discoveryeducation.com/bsdbsd/files/2009/08/lago-pizza.jpg 3/2 Fraction Picture: http://1.bp.blogspot.com/I7zjrTpHV4A/Tcr81f4bw8I/AAAAAAAAAAk/KmLeM7R0Ve0/s1600/FunnyMathFractionsProblem.jpg The End Picture (that’s all folks): http://juliettefay.com/wp-content/uploads/2011/05/the-end.jpg Kahn Academy video on adding and subtracting fractions: http://www.youtube.com/watch?v=52ZlXsFJULI Kahn Academy video on multiplying fractions: http://www.youtube.com/watch?v=CTKMK1ZGLuk Kahn Academy video on dividing fractions: http://www.youtube.com/watch?v=tnkPY4UqJ44