PSAT Math : How to express a fraction as a ratio
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例子问题# 72:Fractions
express 7/8 as a ratio
8:7
not possible to express as a ratio
7:8
1.15
0.875
7:8
a ratio that comes from a fraction is the numerator: denominator
7/8 = 7:8
Example Question #1 :How To Express A Fraction As A Ratio
1 meter contains 100 centimeters.
Find the ratio of 1 meter and 40 centimeters to 1 meter:
9:6
7:5
12:5
2:3
3:2
7:5
1m 40cm = 140cm. 1m = 100cm. So the ratio is 140cm:100cm. This can be put as a fraction 140/100 and then reduced to 14/10 and further to 7/5. This, in turn, can be rewritten as a ratio as 7:5.
Example Question #1 :How To Express A Fraction As A Ratio
When television remotes are shipped from a certain factory, 1 out of every 200 is defective. What is the ratio of defective to nondefective remotes?
1:200
199:1
200:1
1:199
1:199
One remote is defective for every 199 non-defective remotes.
Example Question #1 :How To Express A Fraction As A Ratio
On a desk, there are
Begin by making your life easier: presume that there are
By cross-multiplying you get:
Solving for
(Many students will likely see this fact without doing the algebra, however. The numbers are rather simple.)
Now, this means that our desk has on it:
Therefore, you have
Example Question #551 :Arithmetic
In a classroom of
To begin, you need to calculate how many students are taking Old Norse. This is:
Now, the ratio of students taking Old Norse to students taking Greek is the same thing as the fraction of students taking Old Norse to students taking Greek, or:
Next, just reduce this fraction to its lowest terms by dividing the numerator and denominator by their common factor of
This is the same as
Example Question #1 :How To Express A Fraction As A Ratio
In a garden, there are
To begin, you need to do a simple addition to find the total number of flowers in the garden:
Now, the ratio of petunias to the total number of flowers in the garden can be represented by a simple division of the number of petunias by
Next, reduce the fraction by dividing out the common
This is the same as
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