Lesson: Solving Proportions
A proportion is two fractions
A proportion is two fractions
2
x
10
5
A proportion is two fractions
two fractions
2
x
10
5
A proportion is two fractions
separated by an equal sign
2
x
10
5
A proportion is two fractions
separated by an equal sign
2
x
=
10
5
A proportion is two fractions
separated by an equal sign
2
x
=
equal sign
10
5
To solve a proportion
To solve a proportion
2
x
=
10
5
To solve a proportion
we use cross multiplication
2
x
=
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
2
x
=
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
2
x
=
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
2
x
10x
=
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
then multiply the second diagonal
2
x
10x
=
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
then multiply the second diagonal
2
x
10x
=
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
then multiply the second diagonal
finally put an equal sign in between them
2
x
10x
=
10
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
then multiply the second diagonal
finally put an equal sign in between them
2
x
10x
=
=
10
10
5
To solve a proportion
First multiply one diagonal
we use cross multiplication
then multiply the second diagonal
finally put an equal sign in between them
2
x
10x
=
=
10
10
5
then solve the equation
To solve a proportion
First multiply one diagonal
we use cross multiplication
then multiply the second diagonal
finally put an equal sign in between them
2
x
10x
=
=
10
10
5
then solve the equation
x = 1
Which equation is the result of cross multiplication
5
x
5x = 240
20x = 60
12x = 100
=
20
12
5
x
x = 
=
20
12
If the proportion contains a binomial
If the proportion contains a binomial
x - 3
4
=
3
2
If the proportion contains a binomial
x - 3
4
=
proportion
3
2
If the proportion contains a binomial
x - 3
4
=
binomial
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
x - 3
4
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
x - 3
4
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
2(x - 3)
x - 3
4
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
2(x - 3)
x - 3
4
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
2(x - 3)
x - 3
4
12
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
2(x - 3)
x - 3
4
=
12
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
2x - 6 = 12
2(x - 3)
x - 3
4
=
12
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
2x - 6 = 12
2(x - 3)
2x = 18
x - 3
4
=
12
=
3
2
If the proportion contains a binomial
cross multiplication will involve parenthesis
2x - 6 = 12
2(x - 3)
2x = 18
x = 9
x - 3
4
=
12
=
3
2
Which equation come from cross multiplication?
x + 5
3
3(x + 5) = 84
7(x + 5) = 36
12(x + 5) = 21
=
12
7
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