A ratio is a comparison between two quantities of the same kind, for example:
There are 3 red sweets and 5 yellow sweets in the box. We can
say the ratio of red sweets to yellow sweets is 3 to 5. Ratio can be written
with the symbol ':' or as a fraction.
'3 to 5' can be written as '3:5' or
When writing a ratio,
change the quantities to the same unit if necessary
reduce the ratio to its simplest form.
For example: What is the ratio of 5 minutes to 5 hours? First change the
hours to minutes. 5 hours = 300 minutes Ratio = 5:300 = 1:60
A three-term ratio can be used to compare three quantities, for example:
There are 5 red sweets, 15 yellow sweets and 30 blue sweets in
the box
5 to 15 to 30 = 5:15:30 =
Sometimes, you may need to convert 2 two-term ratios into 1 three-term ratio,
for example:
If the ratio of the number of red shirts to the number of blue
shirts is 1:2 and the ratio of blue shirts to green shirts is 1:3. What is the
ratio of red shirts to green shirts?
First, you need to make the common item (in this case blue shirts) the same
for both ratios. Convert the ratio of blue shirts to green shirts to its
equivalent:
Next, combine to form three-term ratio: 1:2:6
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