How to find out a mixed fraction from an improper fraction
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ACT Math › How to find out a mixed fraction from an improper fraction
Which of the following is the mixed fraction equivalent to ?
Explanation
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.
What does  equal, expressed as a mixed number?
Explanation
Simplify the two fractions, then find a common denominator, then solve.
Convert  to a mixed number.
Explanation
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 .
What is  written as a mixed number?
Explanation
 goes into 
 five times with a remainder of 
The denominator does not change.
Which of the following is equivalent to ?
Explanation
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 
.
Convert the improper fraction to a mixed number. Reduce all fractions if possible.
Explanation
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.