### All GED Math Resources

## Example Questions

### Example Question #31 : Decimals And Fractions

Steve works for a retailer at a wage of $13.00 per hour. He normally works 40 hours per week; any hours in excess of that in any given week are paid at "time and a half" - that is, at 50% higher.

How much did Steve earn for the week reflected by the time card in the above diagram?

**Possible Answers:**

**Correct answer:**

Below is the same time card, with the number of hours worked in each shift.

Steve worked exactly 40 hours, his normal work week, so he will earn normal wage for the entire week. 40 hours at $13.00 per hour is .

### Example Question #32 : Decimals And Fractions

Each student at a classical studies school is required to take one of three languages - Latin, Greek, or Hebrew. Assume that no student takes more than one language.

One-fourth of the students decide to take Hebrew; half the remaining students decide to take Greek. What is the ratio of students who don't take Latin to those who do?

**Possible Answers:**

**Correct answer:**

of the students take Hebrew, so

of the students don't take Hebrew. Half of these students take Greek, so the other half must take Latin; this is

of the students.

Therefore,

of the students don't take Latin.

The ratio of those not taking Latin to those who are is

.

### Example Question #33 : 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:**

George, Elaine, Jerry

Jerry, George, Elaine

Elaine, George, Jerry

George, Jerry, Elaine

**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 #34 : 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 #31 : 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 #36 : 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 #37 : 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 #38 : 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 #39 : Decimals And Fractions

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 #40 : 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

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