Mixed / Improper Fractions - GRE Quantitative Reasoning
Card 0 of 7
and 
are positive integers.
is a multiple of 
.
Quantity A: 
Quantity B: 
Quantity A:
Quantity B:
Recall that the exponent of the denominator is sutracted from the exponent of the numerator.
Therefore Quantity A is equivalent to x5–y, and because we would then be comparing an arithmetic operation to a geometric operation, it does not matter whether y is a multiple of 5. The two quantities cannot be compared.
Recall that the exponent of the denominator is sutracted from the exponent of the numerator.
Therefore Quantity A is equivalent to x5–y, and because we would then be comparing an arithmetic operation to a geometric operation, it does not matter whether y is a multiple of 5. The two quantities cannot be compared.
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Which of the following is the mixed fraction equivalent to 
?
Which of the following is the mixed fraction equivalent to
To begin, notice that using your calculator, you can find:
Now, the closest even multiple of 
that is less than 
is 
. Therefore, you know that your number is:
This is the same as:
, or simply, 
. This is your mixed fraction.
To begin, notice that using your calculator, you can find:
Now, the closest even multiple of
This is the same as:
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Which of the following is equivalent to 
?
Which of the following is equivalent to
Although there are many ways to convert improper fractions into mixed fractions, the easiest way is to use your calculator to your advantage. Begin by dividing 
by 
. This gives you 
. Therefore, you can eliminate all the options that have do not have 
for their first portion. Next, multiply 
by the denominator (
), and get 
. This means that you have 
and 
, or 
. Thus, your answer is 
.
Although there are many ways to convert improper fractions into mixed fractions, the easiest way is to use your calculator to your advantage. Begin by dividing
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Quantity A: 
Quantity B: 
Which of the following is true?
Quantity A:
Quantity B:
Which of the following is true?
Though there are several ways you could solve this, let's convert the improper fraction into a mixed one so we can compare them. Start by dividing 
by 
. This gives you 
Now, since we know that the two numbers have the same whole-number value, we need to compare their decimal portions. Compare 
to 
. The latter is indeed 
Therefore, the two values are equal.
Though there are several ways you could solve this, let's convert the improper fraction into a mixed one so we can compare them. Start by dividing
Now, since we know that the two numbers have the same whole-number value, we need to compare their decimal portions. Compare
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Write 
as an improper fraction.
Write
To find the improper fraction value, we must effectively add together 71 and 5/7. To do this, we will give 71 a denominator of 7; therefore, we are transforming 71/1 to x/7. The shortest way to do this is to multiply by 7/7 (which really is 1); therefore, 71 = 71 * (7/7) = 497/7.
Now add them: (497 + 5)/7 = 502/7
To find the improper fraction value, we must effectively add together 71 and 5/7. To do this, we will give 71 a denominator of 7; therefore, we are transforming 71/1 to x/7. The shortest way to do this is to multiply by 7/7 (which really is 1); therefore, 71 = 71 * (7/7) = 497/7.
Now add them: (497 + 5)/7 = 502/7
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Which of the following improper fractions is equivalent to 
?
Which of the following improper fractions is equivalent to
To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply 
by 
, getting 
. Next, you add this to the numerator of your fraction, giving you 
, or 
. Finally, you place this over your original denominator, giving you:
To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply
Compare your answer with the correct one above
Which of the following improper fractions is equivalent to 
?
Which of the following improper fractions is equivalent to
To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply 
by 
, getting 
. Next, you add this to the numerator of your fraction, giving you 
, or 
. Finally, you place this over your original denominator, giving you:
To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply
Compare your answer with the correct one above