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A ratio
is a comparison of two quantities.
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A ratio
of one number to another number is the quotient of the first
number divided by the second number.
(Where the second
number is not zero.)
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It's
a fraction! |
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A
ratio can be written in a variety of ways:
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Since
a ratio can be written as a fraction, it can also be written in
any form that is equivalent to that fraction. All of the
following are equivalent:
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Terms
used with ratios:
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Continued
Ratio:
(the
comparison for more than two quantities) |
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Equivalent
Ratios:
(all
reduce to the same value) |
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Hint: |
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When working with ratios
such as
2
: 3 : 5, use 2x,
3x, and 5x
to write an equation! |
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Example:
The angles in a
triangle are in the ratio of 1 : 3: 5.
Find the number of degrees in the largest angle in the triangle.
Solution:
Represent
the angles of the triangle by 1x, 3x and 5x.
Since the angles of a triangle add to 180 degrees, set
x + 3x + 5x = 180
9x = 180
x = 20
Since the 5x represents the largest angle, substitute to find the final
answer.
5(20) = 100
100 degrees
ANSWER
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