44 ratio proportion
TRANSCRIPT
Proportions
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ProportionsTwo related quantities stated side by side is called a ratio.
ProportionsTwo related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4.
3 4
ProportionsTwo related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4. We may write it using
fractional notation as:
3 4
eggs
cups of flour
ProportionsTwo related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4. We may write it using
fractional notation as:
3 4
eggs
cups of flour
Proportions
This fraction is also the amount of per unit of the given ratio, in this case, ¾ egg / per cup of flour.
Two related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4. We may write it using
fractional notation as:
3 4
eggs
cups of flour
Proportions
This fraction is also the amount of per unit of the given ratio, in this case, ¾ egg / per cup of flour.
Two ratios that are equal are said to be in proportion.
Two related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4. We may write it using
fractional notation as:
3 4
eggs
cups of flour
Proportions
This fraction is also the amount of per unit of the given ratio, in this case, ¾ egg / per cup of flour.
Two ratios that are equal are said to be in proportion.
Thus "3 to 4" is proportion to "6 to 8" since
3 4
= 6 8
Two related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4. We may write it using
fractional notation as:
3 4
eggs
cups of flour
Proportions
This fraction is also the amount of per unit of the given ratio, in this case, ¾ egg / per cup of flour.
Two ratios that are equal are said to be in proportion.
Thus "3 to 4" is proportion to "6 to 8" since
3 4
= 6 8
Proportional equations are the simplest type of fractional
equations.
Two related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4. We may write it using
fractional notation as:
3 4
eggs
cups of flour
Proportions
This fraction is also the amount of per unit of the given ratio, in this case, ¾ egg / per cup of flour.
Two ratios that are equal are said to be in proportion.
Thus "3 to 4" is proportion to "6 to 8" since
3 4
= 6 8
Proportional equations are the simplest type of fractional
equations. To solve proportional equations, we cross-multiply
and change the proportions into regular equations.
Two related quantities stated side by side is called a ratio.
For example, if a recipe calls for 3 eggs and 4 cups of flour,
then the ratio of eggs to flour is 3 to 4. We may write it using
fractional notation as:
A B
C D ,
= If
Cross-Multiplication-Rule
Proportions
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a.
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
= x5 6
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
= x
2 3
(x + 2) (x – 5)
= b.
5 6
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
= x5 6
2 3
(x + 2) (x – 5)
= b. cross multiply
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
= x
2 3
(x + 2) (x – 5)
= b. cross multiply
2(x – 5) = 3(x + 2)
5 6
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
= x
2 3
(x + 2) (x – 5)
= b. cross multiply
2(x – 5) = 3(x + 2)
2x – 10 = 3x + 6
5 6
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
= x
2 3
(x + 2) (x – 5)
= b. cross multiply
2(x – 5) = 3(x + 2)
2x – 10 = 3x + 6
–10 – 6 = 3x – 2x
5 6
A B
C D ,
= If then AD = BC.
Cross-Multiplication-Rule
Proportions
Example A. Solve for x.
3 x
5 2
= a. cross multiply
6 = 5x
= x
2 3
(x + 2) (x – 5)
= b. cross multiply
2(x – 5) = 3(x + 2)
2x – 10 = 3x + 6
–10 – 6 = 3x – 2x
–16 = x
5 6