Rational Numbers - SSAT Upper Level Quantitative
Card 0 of 1732
Write 
as an improper fraction.
Write
To change a mixed number to an improper fraction, keep the denominator.
Then, multiply the whole number by the denominator and add that to the given numerator.
To change a mixed number to an improper fraction, keep the denominator.
Then, multiply the whole number by the denominator and add that to the given numerator.
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Write 
as an improper fraction.
Write
To change a mixed number to an improper fraction, keep the denominator.
Then, multiply the whole number by the denominator and add that to the given numerator.
To change a mixed number to an improper fraction, keep the denominator.
Then, multiply the whole number by the denominator and add that to the given numerator.
Compare your answer with the correct one above
Write 
as an improper fraction.
Write
To change a mixed number to an improper fraction, keep the denominator.
Then, multiply the whole number by the denominator and add that to the given numerator.
To change a mixed number to an improper fraction, keep the denominator.
Then, multiply the whole number by the denominator and add that to the given numerator.
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Convert 
into a fraction.
Convert
Put the number over 
and drop the percent sign. Then, reduce to simplest form.
Put the number over
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Put the fraction in simplest form.
Put the fraction in simplest form.
To simplify a fraction, divide both the numerator and the denominator by the same numbers until there is no number that can divide them both without resulting in a remainder.
To simplify a fraction, divide both the numerator and the denominator by the same numbers until there is no number that can divide them both without resulting in a remainder.
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Give the reciprocal of 0.75.
Give the reciprocal of 0.75.
The reciprocal of a number is the quotient of 1 and the number.
Divide 1 by 0.75 by moving the decimal point to the right in each number two places:
The reciprocal of a number is the quotient of 1 and the number.
Divide 1 by 0.75 by moving the decimal point to the right in each number two places:
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The main fraction line means "divide." Rewrite the complex fraction as thus:
Divide these two fractions.
The main fraction line means "divide." Rewrite the complex fraction as thus:
Divide these two fractions.
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In a zoo with 
animals, the ratio of mammals to reptiles to birds is 
. How many birds does the zoo have?
In a zoo with
Let 
be the number of mammals,
be the number of reptiles, and 
be the number of birds.
Since the zoo has 
animals,
Because we want the number of birds, we need to find the value of 
.
Let
Since the zoo has
Because we want the number of birds, we need to find the value of
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John and Michela are business partners who agreed to split profits at a ratio of 2:3, with Michela taking the larger share. If their business made 
in the first year, how much money did Michela make?
John and Michela are business partners who agreed to split profits at a ratio of 2:3, with Michela taking the larger share. If their business made
Let 
be the amount John takes home and 
be the amount Michela takes home.
Since their business made 
,
We want to know how much Michela made so we need to find the value of 
.
Let
Since their business made
We want to know how much Michela made so we need to find the value of
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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?
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?
One remote is defective for every 199 non-defective remotes.
One remote is defective for every 199 non-defective remotes.
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On a desk, there are 
papers for every 
paper clips and 
papers for every 
greeting card. What is the ratio of paper clips to total items on the desk?
On a desk, there are
Begin by making your life easier: presume that there are 
papers on the desk. Immediately, we know that there are 
paper clips. Now, if there are 
papers, you know that there also must be 
greeting cards. Technically you figure this out by using the ratio:
By cross-multiplying you get:
Solving for 
, you clearly get 
.
(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:
papers
paper clips
greeting cards
Therefore, you have 
total items. Based on this, your ratio of paper clips to total items is:
, which is the same as 
.
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
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In a garden, there are 
pansies, 
lilies, 
roses, and 
petunias. What is the ratio of petunias to the total number of flowers in the garden?
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 
. This is:
Next, reduce the fraction by dividing out the common 
from the numerator and the denominator:
This is the same as 
.
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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In a classroom of 
students, each student takes a language class (and only one—nobody studies two languages). 
take Latin, 
take Greek, 
take Anglo-Saxon, and the rest take Old Norse. What is the ratio of students taking Old Norse to students taking Greek?
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 
.
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
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Express 
as a ratio.
Express
Ratios take the form of numerator:deminator when in colon form.
Ratios take the form of numerator:deminator when in colon form.
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In a biology class, 
students are freshmen, 
students are sophomores, and 
students are juniors. What is the ratio of sophomores to freshmen in the class?
In a biology class,
The ratio of sophomores to freshmen in the class can be expressed by the fraction 
.
Now, simplify this fraction.
That fraction can also be expressed as 
.
The ratio of sophomores to freshmen in the class can be expressed by the fraction
Now, simplify this fraction.
That fraction can also be expressed as
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A video store lent out 
videos during the fall semester. 
of the videos were lost, and the rest were returned. What is the ratio of lost videos to returned videos?
A video store lent out
First, find the number of videos that were returned.
Now, the ratio of videos lost to videos returned can be expressed as the following fraction:
This fraction can then be expressed as 
.
First, find the number of videos that were returned.
Now, the ratio of videos lost to videos returned can be expressed as the following fraction:
This fraction can then be expressed as
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In a music class of 
students, 
students play the clarinet, 
students play the violin, 
students play the oboe, and the rest play the piano. What is the ratio of piano players to oboe players in the class?
In a music class of
First, find out how many piano players there are in the class.
Now, we can express the ratio of piano players to oboe players as the following fraction:
The fraction can also be expressed by 
.
First, find out how many piano players there are in the class.
Now, we can express the ratio of piano players to oboe players as the following fraction:
The fraction can also be expressed by
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In a garden with 
plants, 
are tulips, 
are daisies, 
are roses, and the rest are bluebonnets. What is the ratio of bluebonnets to tulips in this garden?
In a garden with
First, find the number of bluebonnets in the garden.
The ratio of bluebonnets to tulips can be expressed as a fraction:
The fraction can also be expressed as the ratio 
.
First, find the number of bluebonnets in the garden.
The ratio of bluebonnets to tulips can be expressed as a fraction:
The fraction can also be expressed as the ratio
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Express 
as a ratio.
Express
In the colon form of a ratio, the fraction becomes numerator:denominator.
In the colon form of a ratio, the fraction becomes numerator:denominator.
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A smoothie is made with 
cups of apple juice, 
cup of mango juice, 
cups of orange juice, and 
cups of blueberry juice. What is the ratio of the amount of orange juice to the amount of blueberry juice?
A smoothie is made with
The ratio of orange juice to blueberry juice can be expressed as a fraction:
That fraction can also be expressed as 
.
The ratio of orange juice to blueberry juice can be expressed as a fraction:
That fraction can also be expressed as
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