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

## Example Questions

### Example Question #11 : Mixed / Improper Fractions

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 .

### Example Question #12 : Mixed / Improper Fractions

What is  written as a mixed number?

Explanation:

goes into  five times with a remainder of

The denominator does not change.

### Example Question #1 : 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.

### Example Question #471 : Arithmetic

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 .

### Example Question #2 : How To Find Out A Mixed Fraction From An Improper Fraction

What does  equal, expressed as a mixed number?

Explanation:

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

### Example Question #1 : How To Find Out A Mixed Fraction From An Improper Fraction

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