Simplifying Fractions - SSAT Upper Level Quantitative
Card 1 of 116
Reduce 
to lowest terms, call 
the sum of the numerator and the denominator. Which statement is true of 
?
Reduce
Tap to reveal answer
Add the numerator and the denominator: 
The correct response is therefore 
.
Add the numerator and the denominator:
The correct response is therefore
← Didn't Know|Knew It →
Reduce the fraction 
to lowest terms, and call 
the product of the numerator and the denominator of the simplified fraction. Give the value of 
.
Reduce the fraction
Tap to reveal answer
Multiply the numerator and the denominator: 
The product is a three-digit number.
Multiply the numerator and the denominator:
The product is a three-digit number.
← Didn't Know|Knew It →
Rewrite the mixed fraction 
as an improper fraction in lowest terms, and call 
the product of the numerator and the denominator of the simplified improper fraction. How many digits does 
have?
Rewrite the mixed fraction
Tap to reveal answer
, so 
simplifies to 
.
The numerator of the improper form of a mixed fraction is the original numerator added to the product of the integer and the original denominator. The new denominator is the same as the old one. Therefore,
Multiply the numerator and the denominator: 
,
a three-digit number.
The numerator of the improper form of a mixed fraction is the original numerator added to the product of the integer and the original denominator. The new denominator is the same as the old one. Therefore,
Multiply the numerator and the denominator:
a three-digit number.
← Didn't Know|Knew It →
Consider a fraction 
, where the numerator is unknown. How many of the following values of 
would yield a fraction not in lowest terms?
I) 
II) 
III) 
IV) 
Consider a fraction
I)
II)
III)
IV)
Tap to reveal answer
The prime factorization of 
is 
, so the fraction 
is reducible if and only if 
is a multiple of 5 or 13.
We can immediately tell that 115 is the only multiple of 5, so we test the other numbers to see if there is a multiple of 13. We soon see that
, so 116 and 118 cannot be multples of 13.
115 and 117 are the only values of 
that yield reducible fractions, so the correct response is two.
The prime factorization of
We can immediately tell that 115 is the only multiple of 5, so we test the other numbers to see if there is a multiple of 13. We soon see that
115 and 117 are the only values of
← Didn't Know|Knew It →
Put the fraction in the simplest form.
Put the fraction in the simplest form.
Tap to reveal answer
To put a fraction in simplest form, keep dividing the numerator and denominator by the same number until you cannot go any further.
To put a fraction in simplest form, keep dividing the numerator and denominator by the same number until you cannot go any further.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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. Since only the numerator has 
, leave the variable alone.
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. Since only the numerator has
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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. Since both the numerator and the denominator have 
in them, consider the fraction like this:
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. Since both the numerator and the denominator have
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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. Since we have different variables in the numerator and the denominator, leave the variables alone.
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. Since we have different variables in the numerator and the denominator, leave the variables alone.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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. Since the variables in the numerator and denominator are not the same, leave them alone.
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. Since the variables in the numerator and denominator are not the same, leave them alone.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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. Since the variables in the numerator and denominator are different, leave the variables alone.
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. Since the variables in the numerator and denominator are different, leave the variables alone.
← Didn't Know|Knew It →
Put the fraction in simplest form.
Put the fraction in simplest form.
Tap to reveal answer
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. Since the variables in the numerator and denominator are different, leave them alone.
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. Since the variables in the numerator and denominator are different, leave them alone.
← Didn't Know|Knew It →
Fill in the blank with the missing fraction.
Fill in the blank with the missing fraction.
Tap to reveal answer
In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.
In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.
← Didn't Know|Knew It →
Fill in the blank with the missing fraction.
Fill in the blank with the missing fraction.
Tap to reveal answer
In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.
In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.
← Didn't Know|Knew It →
Fill in the blank with the missing fraction.
Fill in the blank with the missing fraction.
Tap to reveal answer
In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.
In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.
← Didn't Know|Knew It →