# GED Math : GED Math

## 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.)

Jerry, George, Elaine

George, Jerry, Elaine

Elaine, George, Jerry

George, Elaine, Jerry

George, Jerry, Elaine

Explanation:

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?

Explanation:

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

Explanation:

Convert the decimal to a fraction.

Rewrite the expression.

Identify the least common denominator and convert the fractions.

### Example Question #35 : Decimals And Fractions

What is a quarter of 492?

Explanation:

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?

Explanation:

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 ?

Explanation:

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:

Explanation:

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:

Explanation:

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?

Explanation:

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 ?

Explanation:

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.