### All GRE Math Resources

## Example Questions

### Example Question #1 : Mixed / Improper Fractions

Write as an improper fraction.

**Possible Answers:**

**Correct answer:**

To find the improper fraction value, we must effectively add together 71 and ^{5}/_{7}. To do this, we will give 71 a denominator of 7; therefore, we are transforming ^{71}/_{1} to ^{x}/_{7}. The shortest way to do this is to multiply by ^{7}/_{7} (which really is 1); therefore, 71 = 71 * (^{7}/_{7}) = ^{497}/_{7}.

Now add them: ^{(497 + 5)}/_{7} = ^{502}/_{7}

### Example Question #2 : Mixed / Improper Fractions

Which of the following improper fractions is equivalent to ?

**Possible Answers:**

**Correct answer:**

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting . Next, you add this to the numerator of your fraction, giving you , or . Finally, you place this over your original denominator, giving you:

### Example Question #3 : Mixed / Improper Fractions

Which of the following improper fractions is equivalent to ?

**Possible Answers:**

**Correct answer:**

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting . Next, you add this to the numerator of your fraction, giving you , or . Finally, you place this over your original denominator, giving you: