### All PSAT Math Resources

## Example Questions

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

To make 48 cookies you need 1 cup white sugar, 1 cup packed brown sugar and 3 cups of flour. You want to make 12 cookies, so you adjust the ingredients accordingly. After the adjustment, how many total cups of dry ingredients do you have?

**Possible Answers:**

1 ^{1}/_{2} c

^{3}/_{4} c

1 ^{1}/_{4} c

^{1}/_{4} c

1 ^{3}/_{4} c

**Correct answer:**

1 ^{1}/_{4} c

Going from 48 cookies to 12 cookies is a scaling factor of ^{1}/_{4}, so all the ingredients get multiplied by ^{1}/_{4}. In order to make 12 cookies you will need ^{1}/_{4} c white sugar, 1/4 c packed brown sugar, and ^{3}/_{4} c flour. Added all together you get ^{5}/_{4} or 1 ^{1}/_{4} c.

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

What is written as a mixed number?

**Possible Answers:**

**Correct answer:**

How many times does 12 go into 17? Once with a remainder of 5.

So becomes

### Example Question #1711 : Psat Mathematics

If , what does equal?

**Possible Answers:**

**Correct answer:**

First, you must solve the equation for . Then, you must convert the answer's improper fraction to a mixed fraction.

Solve for .

Now, to convert an improper fraction, you must see how many times the denominator goes into the numerator, and then leave the remainder as a fraction. Example below:

Find out how many times the denominator goes into the numerator:

Therefore,