## Example Questions

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

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

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

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 #14 : Mixed / Improper Fractions

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.      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.

### All ACT Math Resources 