Card 0 of 4
and
are positive integers.
is a multiple of
.
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.
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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.
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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
.
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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.
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