### All GRE Math Resources

## Example Questions

### Example Question #1 : How To Find The Fractional Equivalent Of A Decimal

A tub of food contains pounds of vegetables, pounds of lard, and pounds of sausage. What is its total weight as an improper fraction?

**Possible Answers:**

**Correct answer:**

To begin with, it is easiest just to add these decimals together using your calculator:

Now, this is the same thing as:

We can rewrite this:

To find this, you need to give the two numbers a common denominator:

This is your answer.

### Example Question #1 : Decimals

What is the fractional equivalent of ?

**Possible Answers:**

**Correct answer:**

In decimal form is said 33 hundredths.

This is equal to

.

This fraction cannot be reduced any further therefore it is in its final answer form.

### Example Question #1 : How To Find The Fractional Equivalent Of A Decimal

Choose the answer which best converts the following decimal into a fraction, ensure that you simplify your answer:

**Possible Answers:**

**Correct answer:**

To convert a decimal into a fraction, simply put the digits of the decimal in the numerator of a fraction, then one followed by a number of zeroes equal to the number of digits in the decimal as your denomator. In this case:

Then, you can simplify, as both and are divisible by :

### Example Question #1 : How To Find The Fractional Equivalent Of A Decimal

Simplify the following expression:

**Possible Answers:**

**Correct answer:**

It can help to begin by writing the expression using scientific notation:

Now remove common divisors from the numerator and denominator: