# Fraction Rules

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2. Subtraction of Fractions
To subtract fractions, again make sure the denominators are the same and subtract the numerators. Bring the denominator over to join.
3. What if the denominators are not the same?
Follow these simple steps to get a common denominator:                                                                  1. Multiply the first fraction by the denominator of the second fraction and multiply the second fraction by the first fractions denominator.
4. What you to do the bottom of the fraction you must do to the top numbers also.
So, step 2 is to multiply  and
The new fractions are:                                                                                                                                                                                               The answer is :   or                                                                                 Remember to reduce your answer before you leave it.
6. Multiply Fractions
Multiply the numerators then multiply the denominators.                                                                                                                                                                                                                                                                                   Now rewrite it:  or
7. Dividing Fractions
To divide fractions, use this simple trick! Flip the 2nd fraction upside down and multiply.      ÷                                                                                                                        Flip the second fraction:         ÷                                                                         Now multiply,                                                                                        Rewrite:  or
8. Fractions and Whole Numbers
When you are given an equation with a whole number and a fraction, simply turn the whole number into a fraction. Any whole number is a fraction over the number 1.                                                                                                                                             Multiply numerator and numerator, denominator and denominator.                                                                                                                                                                                                    or
9. Multiplying Mixed Fractions
There are 3 steps to multiplying mixed fractions.                                                                          Here's our equation:           6 3/7 * 1 4/5                                                                Step 1: Convert the mixed numbers to improper fractions.                                              To do this, multiply each denominator by the whole number and add the numerator.         6*7+3=45       5*1+4                                                                                                   Keep each fractions original denominator.     45/7      9/5
10. Step 2:
Multiply your numerators and denominators.                                                                                                45*9     7*5                                                                                                                         405/35
11. Reduce and Convert Back
Step 3: Reduce the fraction. This fraction is divisible by 5 for both the numerator and denominator.                                                405/35 ÷ 5/5= 81/7                                     Step 4: Convert your fraction to a mixed number by dividing the denominator into the numerator.                                                7/81= 11 4/7
12. Dividing Mixed Numbers
As with multiplying mixed numbers, in dividing them you also convert the mixed number to a fraction and keep the original denominators.    6 1/2÷ 2 1/4                                             Convert:                           2*6+1=13      4*2+1=9                                                Rewrite:                                       13/2÷ 9/4                                                              Flip the second fraction and multiply:           13/2*4/9= 52/18                                       Reduce by dividing the numerator and denominator by 2                                       52÷2=26       18÷2=9                                26/9                                                         Convert back to Mixed Number:                                                                                                                             9÷26= 2 8/9
13. Citations
• Adding Fractions. (n.d.). Retrieved January 18, 2016, from https://www.mathsisfun.com/fractions_addition.html                                                                                                             Middle School Math. (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/all
• How Do You Multiply Fractions? (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/multiplying-dividing-fractions/multiply/multiply-fractions-definition

• How Do You Divide Fractions? (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/multiplying-dividing-fractions/divide/divide-fractions-example
• How Do You Subtract Two Fractions with Different Denominators? (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/adding-subtracting-fractions/unlike-denominators/practice-subtract-fractions-unlike-denominators
 Author: nmackinlay ID: 314234 Card Set: Fraction Rules Updated: 2016-01-18 03:05:51 Tags: fractions Folders: Description: Rules for addition, subtraction, multiplication and division of fractions. Show Answers: