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Example Questions
Example Question #1 : How To Find Out A Mixed Fraction From An Improper Fraction
and are positive integers.
is a multiple of .
Quantity A:
Quantity B:
The two quantities are equal.
The relationship cannot be determined.
Quantity A is greater.
Quantity B is greater.
The relationship cannot be determined.
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.
Example Question #1473 : Sat Mathematics
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.
Example Question #1 : Mixed / Improper Fractions
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 .
Example Question #2 : How To Find Out A Mixed Fraction From An Improper Fraction
Quantity A:
Quantity B:
Which of the following is true?
Quantity A is larger.
The two quantities are equal
The relationship of the two quantities cannot be determined based on the information provided.
Quantity B is larger.
The two quantities 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 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.