GED Math : Decimals and Fractions

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #11 : Decimals And Fractions

Evaluate: 

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

 is evaluated by first multiplying. 1.3 can be multiplied by ignoring the decimal point:

Since one digit of the first factor and no digits of the second are to the right of the decimal point, we can place the decimal point one place from the right in the product; this is 6.5.

Now, we add 2.5 to 6.5 as follows:

The correct response is 9.

Example Question #12 : Decimals And Fractions

Thingy

What mixed number is represented by the shaded portion of the above diagram?

Possible Answers:

Correct answer:

Explanation:

Three whole circles are shaded, so the integer part of the mixed number is 3.

The denominator of the fraction portion, on the bottom, is the number of pieces each whole circle is divided into, which is 8. The numerator, on the top, is the number of pieces of the fourth circle actually shaded in, which is 3.

Therefore, the diagram represents the fraction .

Example Question #13 : Decimals And Fractions

Twenty

In lowest terms, what fraction of the above figure is red?

Possible Answers:

Correct answer:

Explanation:

Sixteen parts are colored red out of the twenty that make a whole, so one fraction that this represents is . This is not in lowest terms, however, since both numerator and denominator are divisible by 2.

which is the correct response.

Example Question #12 : Decimals And Fractions

Evaluate  for .

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

, so substitute  for  and follow the order of operations:

Example Question #15 : Decimals And Fractions

Three inches on a map represents 100 miles of real distance. The distance between Adams and Monroe on a map is seven and a half inches. How many miles separate the two cities in reality?

Possible Answers:

Correct answer:

Explanation:

Since three map inches represent 100 real miles, one inch represents 

 miles.

Seven and one half inches represents

 miles, 

the distance between the two cities.

Example Question #12 : Decimals And Fractions

Menu

Above is the menu at a coffee shop.

Alana has a coupon which she can use to get either a free butter croissant with the purchase of a large drink or one dollar off a butter croissant with the purchase of a small drink. The coupon says "limit 4".

Alana orders one large espresso, two small iced coffees, and three butter croissants. Disregarding tax, how much will she spend?

Possible Answers:

Correct answer:

Explanation:

Alana will be able to save on all three butter croissants, since the coupon allows discounts on up to four. With the large espresso, one of the croissants will be free; with the two small iced coffees, two of the croissants will be $1 off each - that is, $1.29 each. 

Therefore, she will pay for:

One large espresso: 

Two small iced coffees: 

Two butter croissants: 

Alana will spend:

 

Example Question #11 : Decimals And Fractions

Menu

Above is the menu at a coffee shop.

Cassie has a coupon that entitles her to a free butter croissant with the purchase of one large drink of any kind. The coupon says "limit one per coupon".

She decides to purchase two small cafe lattes, two large cafe lattes, and four butter croissants. Disregarding tax, how much will Cassie spend?

Possible Answers:

Correct answer:

Explanation:

Cassie will be able to use the coupon to get one free butter croissant with one of her large cafe lattes, so she will end up paying for:

Two large cafe lattes: 

Two small cafe lattes: 

Three butter croissants: 

Add these amounts:

Example Question #13 : Decimals And Fractions

Menu

Above is the menu at a coffee shop.

Philip has a coupon that entitles him to a free butter croissant with the purchase of one large drink of any kind. The coupon says "limit one per coupon".

He decides to purchase a large cafe latte, a large cappucino, and two butter croissants. Disregarding tax, how much will he pay for them?

Possible Answers:

Correct answer:

Explanation:

The coupon will entitle him to one free croissant, so Phil will pay for the large cafe latte, the large cappucino, and one butter croissant. The charge will be the sum of the three prices:

Example Question #15 : Decimals And Fractions

Evaluate:

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

Example Question #11 : Decimals And Fractions

Evaluate:

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

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