Long Division

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Long Division

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Dividing Fractions
Dividing
Itâs almost the same as multiplying fractions except thereâs one step you have to do before you multiply straight across on the top and bottom! Whatever youâre dividing by always flip that fraction (reciprocal) first and then multiply it by the fraction that is being divided (you donât need common denominators!)
Multiplying Fractions
Multiply straight across because multiplying makes numbers bigger than adding so you can act like its a short cut to making things bigger so always think straight across (you donât need common denominators!). Itâs easier than adding fractions! You donât have to do the extra work to find the same denominator! Use the fraction line as a boundary. Keep the top numbers (numerators) together and multiply them. Then keep the bottom numbers (denominators) together and multiply them. Then simply your answer and youâre done! :)
Fraction Help
Understanding basic concepts of fraction: http://www.youtube.com/watch?v=OEHdIhRXhnM
Understanding fraction comparison: http://www.youtube.com/watch?v=bCchPBDaWz4&feature=relmfu
Fun Online Fraction Games + Other Math Related Games! http://www.sheppardsoftware.com/math.htm#fractions
Additional helpful website
http://www.mathsisfun.com/fractions_addition.html

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If necessary, simplify the fraction. Until you get the simplest form, you are not done!
How to simplify fractions: http://www.youtube.com/watch?v=ApoOgWRsobw
Add/Subtract the Numerators
Keep the bottom parts and only add/subtract the top numbers.
Example of adding fractions: http://www.youtube.com/watch?v=QgizFohvJo0&feature=related
Example of subtracting fractions:http://www.youtube.com/watch?v=PvD_I8tnOV4
Common Denominators
Make the denominators the same. We cannot do anything until the denominators are the same!
***Don't forget that the numerators are the very jealous numbers! You need to multiply the same amount to the numerators as well you do to the denominators. (The video of adding fractions example below give you more details on it.)***
Keep It Simple
If you do not need to know the answer to the exact decimal place, donât drag the problem out and make it more confusing. Â Write âremainder: 4â (for example) so that the whole problem does not feel overwhelming. Â

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Write It Out
Give yourself plenty of sheet room to complete the problem. Â You will get confused if you cannot follow it visually.
Numbers to the Rescue!
Always remember to drop the next number down so that it can âhelpâ the remainder get bigger to âtake onâ the divisor. Â
First Things First -- Division
The number youâre dividing BY goes on the outside. Visualize the number you are dividing BY trying to get into the number you are dividingâs house. Â Many of students make mistakes on at this step; however, the division bracket is good for visualizing this.
Memorization Is Key!
Once you understand how multiplication works, you donât need to think about the answers anymore because 4x3 and 3x4 will ALWAYS be 12. Â
Use flashcards to memorize
Do lots of practice drillsâthe faster you can do them, the easier advanced math will become.
http://jmathpage.com/JIMSMultiplicationfactspractice.html

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Understand the Concept!
Multiplication is basically a short way of writing repeated addition.
2 x 3 = 2+2+2
4 x 2 = 4+4
5 x 6 = 5+5+5+5+5+5
Isolating Variables
To find the missing variable, after cross-multiplying, you must isolate the variable in the resulting equation. Â By dividing the coefficient away from the variable and the other side of the equal sign, you will be left with the answer to the unknown number. Â
In order to check your work, divide each denominator by the numerators. Â
Do the two fractions equal each other? Â If yes, your answer is correct!