How to simplify a fraction - SSAT Upper Level Quantitative
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Put the fraction in simplest form.

Put the fraction in simplest form.
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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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in the simplest form.

Put the fraction in the simplest form.
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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.
Reduce
to lowest terms, call
the sum of the numerator and the denominator. Which statement is true of
?
Reduce to lowest terms, call
the sum of the numerator and the denominator. Which statement is true of
?
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Add the numerator and the denominator: 
The correct response is therefore
.
Add the numerator and the denominator:
The correct response is therefore .
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 to lowest terms, and call
the product of the numerator and the denominator of the simplified fraction. Give the value of
.
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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.
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 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?
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, 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.
, 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.
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 , where the numerator is unknown. How many of the following values of
would yield a fraction not in lowest terms?
I)
II)
III)
IV)
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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 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.
Put the fraction in simplest form.

Put the fraction in simplest form.
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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 , leave the variable alone.
Put the fraction in simplest form.

Put the fraction in simplest form.
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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 in them, consider the fraction like this:
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Put the fraction in simplest form.

Put the fraction in simplest form.
Tap to see back →
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.
Fill in the blank with the missing fraction.

Fill in the blank with the missing fraction.
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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.
Fill in the blank with the missing fraction.

Fill in the blank with the missing fraction.
Tap to see back →
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.
Fill in the blank with the missing fraction.

Fill in the blank with the missing fraction.
Tap to see back →
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.