### Aleks' Last Fractions post

Wednesday, May 13, 2009
1- Find the common denominator.
3- Simplify if you can.
e.g.:
1/2  +  1/4=
2/4  +  1/4= 3/4

1- Convert mixed numbers into improper fractions.
2- Find the common denominator.
4- Convert improper fraction to mixed number.
5- Simplify if you can.
e.g.:
1 1/2  +  1  1/3=
3/2  +  4/3=
9/6  +  8/6= 17/6  =  2  5/6

Subtracting Fractions:
1- Find common denominators.
2- Subtract numerators and leave the denominator as it is.
3- Simplify if you can.
e.g.:
1/2  -  3/4=
2/4  -  3/4= 1/4

Multiplying Fractions:
1- Find common denominator.
2- Multiply both numerators and multiply both denominators.
3- Simplify if you can.
e.g.:
2/3  x  3/4=
8/12  x  9/12= 72/12 =  6

Multiplying Mixed Numbers:
1- Convert mixed numbers to improper fractions.
2- Find common denominator.
3- Multiply both numerators and then multiply both denominators.
4- Simplify if you can
e.g.:
1 1/2  x  1 2/4=
3/2  x  6/4=  18/4  =  4 2/4

Dividing Fractions:
1- Find the reciprocal of one of the fractions.
2- Multiply both of the numerators and then multiply both of the denominators.
3- Simplify if you can
e.g.:
4/8  *  2/4=
4/8  x  4/2= 16/16 = 1<-----the answer
2/4  x  4/2= 1

Dividing Mixed Numbers:
1- Convert mixed numbers to improper fractions.
2- Find the reciprocal of one of the fractions.
3- Multiply both numerators and then multiply both denominators.
4-
Simplify if you can
e.g.:
1 2/3  *  1 1/2=
5/3  *  3/2=
5/3  x  2/3=  10/9 = 1 1/9<-----the answer
3/2  x  2/3= 1