Introduction to ratio and proportion summary:
The ratio a: b is equivalent to the quotient `a/b` . A is relation of give the equality of two ratios, in the form `a/b` = `c/d` . This relation has called as proportion. Proportion is a states in which numbers are called as proportionality relation giving of two ratios, in the form `a/b` = `c/d` . Here a & d are known as extreme and b & c are known as means.
Problems on Proportion Summary:
The ratio a: b is equivalent to the quotient `a/b` . The ratio of two given numbers a and b is the fraction, usually expressed in reduced form.
Ratio summary - example 1:
A classroom has 60 men and 20 women. What is the ratio of men and women?
Solution:
Men to women = 60 to 20 or 60: 20,
which reduces to = 6 to 2 or 6:2
The ratio of men to women is 6 to 2, or `6/2` , or 6 : 2.
Ratio summary - example 2:
A triangle has angle measures of 30°, 60°, and 90°. In simple form, what is the ratio of the given angles to each other?
Solution:
30: 60: 90 = 3: 6: 9 (10 is a common divisor).That is,
(1) Ratio of the first to the second is 3 to 6.
(2) Ratio of the first to the third is 3 to 9.
(3) Ratio of the second to the third is 6 to 9.
Some Problems for Proportion Summary:
A is relation give the equality of two ratios, in the form `a/b ` = `c/d` . This relation has called as proportion. Proportion is a states in which numbers are called as proportionality relation giving of two ratios, in the form `a/b` = `c/d` . Here a & d are known as extreme and b & c are known as means.
Proportion summary - example 1:
If `x/5` = `y/2` , find the ratio of `x/y` .(proportion)
Solution:
`x/5` = `y/2`
`x/y` = `5/2`
Therefore the ratio of x and y is 5:2
Proportion summary - example 2:
If `x/3` = `2/6` , then find x?
Solution:
Using cross multiplication (Property 1)
2x = 3 `xx` 6
2x = 18
x = `18/2`
x = 9
So the value of x = 9
The ratio a: b is equivalent to the quotient `a/b` . A is relation of give the equality of two ratios, in the form `a/b` = `c/d` . This relation has called as proportion. Proportion is a states in which numbers are called as proportionality relation giving of two ratios, in the form `a/b` = `c/d` . Here a & d are known as extreme and b & c are known as means.
Problems on Proportion Summary:
The ratio a: b is equivalent to the quotient `a/b` . The ratio of two given numbers a and b is the fraction, usually expressed in reduced form.
Ratio summary - example 1:
A classroom has 60 men and 20 women. What is the ratio of men and women?
Solution:
Men to women = 60 to 20 or 60: 20,
which reduces to = 6 to 2 or 6:2
The ratio of men to women is 6 to 2, or `6/2` , or 6 : 2.
Ratio summary - example 2:
A triangle has angle measures of 30°, 60°, and 90°. In simple form, what is the ratio of the given angles to each other?
Solution:
30: 60: 90 = 3: 6: 9 (10 is a common divisor).That is,
(1) Ratio of the first to the second is 3 to 6.
(2) Ratio of the first to the third is 3 to 9.
(3) Ratio of the second to the third is 6 to 9.
Some Problems for Proportion Summary:
A is relation give the equality of two ratios, in the form `a/b ` = `c/d` . This relation has called as proportion. Proportion is a states in which numbers are called as proportionality relation giving of two ratios, in the form `a/b` = `c/d` . Here a & d are known as extreme and b & c are known as means.
Proportion summary - example 1:
If `x/5` = `y/2` , find the ratio of `x/y` .(proportion)
Solution:
`x/5` = `y/2`
`x/y` = `5/2`
Therefore the ratio of x and y is 5:2
Proportion summary - example 2:
If `x/3` = `2/6` , then find x?
Solution:
Using cross multiplication (Property 1)
2x = 3 `xx` 6
2x = 18
x = `18/2`
x = 9
So the value of x = 9
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