### All ACT Math Resources

## Example Questions

### Example Question #467 : Arithmetic

Convert to a mixed number.

**Possible Answers:**

**Correct 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 .

### Example Question #468 : Arithmetic

What is written as a mixed number?

**Possible Answers:**

**Correct answer:**

goes into five times with a remainder of

The denominator does not change.

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

Which of the following is the mixed fraction equivalent to ?

**Possible Answers:**

**Correct 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.

### Example Question #3 : How To Find Out A Mixed Fraction From An Improper Fraction

Which of the following is equivalent to ?

**Possible Answers:**

**Correct 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 .

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

What does equal, expressed as a mixed number?

**Possible Answers:**

**Correct answer:**

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

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

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

**Possible Answers:**

**Correct 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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