chenda+873




 * Mixed Fraction : has a whole number plus a fraction and can be converted into an improper fraction. (example would be 1 1/2)**
 * Equivalent Fraction : have the same value, but different fractions. (example 1/2 = 3/6 )**
 * Proper Fraction : the numerator is less then the denominator. (example 3/8 )**

F**raction : is a number that expresses part of a group, it is usually written in the form a/b**
 * Improper Fraction : has a numerator that is larger or equal to the denominator. (example 7/4 )**
 * ( a is the numerator and b is the denominator)**



( r = remainder)


__**Common Denominator:**__ - A denominator that is the same in two fractions. (example 7/2 and 4/2)

__**Lowest Common Denominator:**__ -When the fraction of the denominator is at their smallest number -Using the LCD (lowest common denominator) makes fraction operation more easier. -Less chance of making a mistake

- If fractions have the same denominators the sum is the sum of the numerator over the denominator. If fractions have the same denominator, their difference is the difference at the numerators over the denominator. We never subtract denominators, but REDUCE ! . -Mixed Fractions; To subtract mixed numbers, convert the mixed numbers into improper fractions. Subtract them as fractions 13- 1/1/3 = ? think of 13 as a mixed number without a fractional part. Convert into a fraction (4/3) denominator is 3 and 13 39/3 .. 13 - 1/1/3 39/3 - 4/3 (39-4)/3 35/3 = 11/2/3. __**IF THEY HAVE DIFFERENT DENOMINATORS.**__ 1) Find LCD 2) Write equivalent fractions using denominator 3) Subtract fractions . Reduce if needed.
 * __Subtracting Fractions:__**

- Mixed Fractions; TO add a mixed number you convert it into an improper fraction. Add them as fractions. (example) 9/1/2 + 5/3/4 equals ? convert: 19/2 + 23/4 equals 61/4 You can also convert it back to a mixed number by seeing how much 4's go into 61 that would be (15) and 1 remaining and the denominator always stays the same. - If they have different denominators, you do almost exactly what you would do when you subtract. 1) Find the LCD 2) Write down equivalent fractions using denominator 3) Add Fractions. Reduce if you have to.
 * __Adding Fractions:__**
 * -** If fractions have the same denominator, their sum is the sum of the numerators over the denominator. If fractions have the same denominator their difference is the difference of the numerator over the denominator. We don't add denominators, but reduce them.

__**Multiplying Fractions:**__ - When multiplying the numerators and the denominators you should simplify. - When you are multiplying by fractions you do not need to have a common denominator. - When multiplying mixed fractions you can convert it into an improper fraction. Then cross reduce.

- To divide a number by a fraction you should multiply the number by the reciprocal of the fraction. - Dividing with mixed fractions you should always convert to an improper fraction, then multiply the first number by the reciprocal of the second.
 * __Dividing Fractions:__**