dividing fractions by: greg stark division a basic rule of math – if you multiply the dividend...
TRANSCRIPT
Dividing Fractions
By: Greg Stark
Division• A basic rule of math – if you multiply the dividend
(the number being divided) and the divisor (the number you are dividing by) by the same factor, the answer will not change
2÷ =4 2
2÷ =4 24÷8=X 2 X 2
2÷ =4 210÷20=X 5 X 5
Division• What is the easiest number to divide by?• A basis rule of math – dividing by 1 does not change
the value of number
1÷ =4 4
1÷ =2 21÷ =326 326
Division by a Fraction• How can we use this information to divide by one?• A basic rule of math – if we multiply a number by it’s
inverse, the product is one
÷ x
=
34
14 ÷
34
14
41
41
x\÷ 4
÷ 4\
1
1
1
1÷ 4
÷ 4
\\
÷31
11
1÷3 3=
÷ 7271
Dividing a Fraction by a Fraction
• Another example:
÷ x
=
23
27 ÷
23
72
72
x\÷ 2
÷ 2\
1
1
1
1÷ 2
÷ 2
\\
73 2 1
3
\\ ÷ 7
1
Dividing a Whole Number by a Fraction
• For example:
÷ x
=
12 ÷
51
12
21
21
x\÷ 2
÷ 2\
1
1
101 10
5
Dividing Mixed Numbers• In order to divide with fractions, both factors must be
in the form of fractions• To convert a mixed number into a fraction, multiply
the whole number by the denominator of the fraction, then add the product to the numerator
4 ÷ = ==123
15
53
215
6325
13252÷
35
215 x =
Review: Dividing with fractions1. Ensure all values are fractions, before you beginning the division process2. To convert a whole number to a fraction, place it over 1.3. To convert a mixed number to a fraction, multiply the whole number by the
denominator of the fraction, then add the product to the numerator 4. Invert the divisor - the fraction you are dividing by – and multiply the fractions
together5. Reduce the product to lowest terms