How to find out a mixed fraction from an improper fraction - ACT Math

Card 0 of 6

Question

Convert \dpi{100} \small \frac{21}{4} to a mixed number.

Answer

4 goes into 21 five times. 5 becomes your whole number. There is a remainder of 1 and your denominator remains the same, so your fraction is \dpi{100} \small \frac{1}{4}.

\dpi{100} \small 5\frac{1}{4}

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Question

What is \frac{23}{4} written as a mixed number?

Answer

goes into five times with a remainder of

The denominator does not change.

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Question

Which of the following is the mixed fraction equivalent to ?

Answer

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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Question

What does equal, expressed as a mixed number?

Answer

Simplify the two fractions, then find a common denominator, then solve.

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Question

Which of the following is equivalent to ?

Answer

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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Question

Convert the improper fraction to a mixed number. Reduce all fractions if possible.

Answer

To convert a mixed number into a fraction, first divide the denominator into the numerator and record the remainder:

.

the result is the mixed number, with the remainder being put as the numerator over the old denominator:
when we reduce.

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