### All GED Math Resources

## Example Questions

### Example Question #32 : Decimals And Fractions

Above is the menu for a coffee shop. Today, the shop has a special - buy two iced coffees of any size, and get a third iced coffee of the same size free.

Jerry orders three large iced coffees; Elaine orders two large cappucinos; George orders three butter croissants. List the three customers in ascending order by money spent. (You may ignore tax.)

**Possible Answers:**

Jerry, George, Elaine

George, Jerry, Elaine

Elaine, George, Jerry

George, Elaine, Jerry

**Correct answer:**

George, Jerry, Elaine

Since the third large iced coffee is free, Jerry pays for two large iced coffees. He pays

.

Elaine pays for two large cappucinos. She pays

.

George pays for three butter croissants. He pays

.

In ascending order by amount spent, the three are George, Jerry, Elaine.

### Example Question #33 : Decimals And Fractions

What is as an improper fraction?

**Possible Answers:**

**Correct answer:**

To convert a mixed number, (whole number and fraction), to an improper fraction, (a fraction whose numerator is greater than the denominator), the steps are as follows:

Multiply the whole number by the denominator of the fraction. In this example the whole number is 17 and the denominator is 5.

Then add the numerator to that total.

This total represents the numerator in the improper fraction. The denominator does not change.

Therefore the improper fraction would be

### Example Question #34 : Decimals And Fractions

Add:

**Possible Answers:**

**Correct answer:**

Convert the decimal to a fraction.

Rewrite the expression.

Identify the least common denominator and convert the fractions.

The answer is:

### Example Question #35 : Decimals And Fractions

What is a quarter of 492?

**Possible Answers:**

**Correct answer:**

To find a fraction of a whole number, we will multiply the fraction by the whole number.

Now, we know **a quarter** is the same as . So, we get

Therefore, a quarter of 492 is 123.

### Example Question #36 : Decimals And Fractions

What is half of 120?

**Possible Answers:**

**Correct answer:**

To find a fraction of a whole number, we will multiply the fraction by the whole number.

Now, we know that **half** is the same as . So, we will multiply. We get

Therefore, half of 120 is 60.

### Example Question #37 : Decimals And Fractions

What is of ?

**Possible Answers:**

**Correct answer:**

To find a fraction of a number, we will multiply the two together. So, we get

Now, we can simplify before we multiply. The 3 and the 9 can both be divided by 3. So, we get

Now, we simplify.

Therefore, of is .

### Example Question #85 : Numbers

Multiply the following:

**Possible Answers:**

**Correct answer:**

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. So, we get

Now, we can simplify to make things easier. The 5 and the 25 can both be divided by 5. So, we get

### Example Question #38 : Decimals And Fractions

Divide the following:

**Possible Answers:**

**Correct answer:**

To divide fractions, we will take the first fraction and multiply by the reciprocal of the second fraction. To find the reciprocal, the numerator becomes the denominator, and the denominator becomes the numerator. In other words, we flip the fraction. So, we get

### Example Question #87 : Numbers

What is a fifth of 300?

**Possible Answers:**

**Correct answer:**

To find a fraction of a whole number, we will multiply the fraction by the whole number.

So, we know **a fifth** is the same as . Now, we can multiply.

Therefore, of 300 is 60.

### Example Question #41 : Decimals And Fractions

What is of 144 ?

**Possible Answers:**

**Correct answer:**

To find a fraction of a whole number, we will multiply the two together. So, we get

Now, we can simplify before we multiply. The 3 and the 144 can both be divided by 3. So, we get

Therefore, of 144 is 96.

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