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GED Math : Units and Unit Conversions

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Example Questions

Example Question #133 : Numbers And Operations

Convert 2.5 yards to inches.

Possible Answers:

Correct answer:

Explanation:

For every yard, there are 3 feet.

$1 \textup{ yard} = 3 \textup{ ft}$

For every feet, there are 12 inches.

$1\textup{ ft} = 12 \textup{ inches}$

Write the dimensional analysis.

$2.5 \textup{ yds} (\frac{3 \textup{ ft}}{1\textup{ yard}})(\frac{12 \textup{ inches}}{1\textup{ ft}})$

Multiply the numbers. The unit which remains is in inches.

The answer is: $90 \textup{ inches}$

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Example Question #11 : Units And Unit Conversions

Convert 6 inches to yards.

Possible Answers:

$\frac{1}{16}$

$\frac{1}{36}$

$\frac{1}{72}$

$\frac{1}{12}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

One yard is equivalent to 3 feet.

One foot is equivalent to 12 inches.

Set up the dimensional analysis.

$6 \textup{ in}(\frac{1 \textup{ ft}}{12 \textup{ in}})(\frac{1 \textup{ yd}}{3 \textup{ ft}}) = \frac{6}{36} = \frac{1}{6} \textup{ yd}$

The answer is: $\frac{1}{6}$

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Example Question #12 : Units And Unit Conversions

Express $6\frac{1}{2}$ feet in inches.

Possible Answers:

72 inches

76 inches

82 inches

78 inches

Correct answer:

78 inches

Explanation:

One foot is equivalent to 12 inches, so multiply the number of feet by 12 inches per foot in order to convert:

$6\frac{1}{2} \textrm{ ft } \times 12 \textrm{ in / ft}$

Rewrite the numbers as improper fractions:

$= \frac{6 \times 2+ 1}{2} \times \frac{12 }{1 }\textrm{ in }$

$=\frac{12+ 1}{2} \times \frac{12 }{1 }\textrm{ in }$

$=\frac{13}{2} \times \frac{12 }{1 }\textrm{ in }$

Cross-cancel, then multiply across:

$=\frac{13}{1} \times \frac{6}{1 }\textrm{ in }$

$=78\textrm{ in}$

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Example Question #13 : Units And Unit Conversions

Convert 6 feet to inches.

Possible Answers:

$72 \textup{ in}$

$18 \textup{ in}^3$

$18 \textup{ in}$

$36 \textup{ in}$

$72 \textup{ in}^2$

Correct answer:

$72 \textup{ in}$

Explanation:

There are 12 inches in a foot. Set up the dimensional analysis to solve.

$6 \textup{ ft} (\frac{12 \textup{ in}}{1\textup{ ft}}) = 72 \textup{ in}$

The answer is: $72 \textup{ in}$

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Example Question #14 : Units And Unit Conversions

Convert 10 inches to yards.

Possible Answers:

$\frac{5}{18}$

$\frac{5}{36}$

$\frac{1}{6}$

$\frac{5}{8}$

$\frac{2}{9}$

Correct answer:

$\frac{5}{18}$

Explanation:

One yard is equal to 3 feet.

One foot is equal to 12 inches.

Set up the dimensional analysis.

$10 \textup{ in} (\frac{1 \textup{ ft}}{12 \textup{ in} })(\frac{1 \textup{ yd}}{3 \textup{ ft}}) = \frac{10}{36} \textup{ yd}$

Reduce the fraction.

The answer is: $\frac{5}{18}$

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Example Question #15 : Units And Unit Conversions

Convert 10 yards to inches.

Possible Answers:

360

$\frac{5}{18}$

$\frac{5}{2}$

180

720

Correct answer:

360

Explanation:

There are 3 feet in a yard, and 12 inches to a foot.

Write the dimensional analysis.

$10 \textup{ yds} (\frac{3 \textup{ ft}}{1 \textup{ yds}}) (\frac{12 \textup{ in}}{1 \textup{ ft}})$

The answer is: 360

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Example Question #145 : Numbers And Operations

Convert yards feet inches into inches.

Possible Answers:

628

536

602

578

Correct answer:

578

Explanation:

Start by converting the yards into inches. Recall that there are feet in a yard, and inches in a foot.

$14\text{ yards }(3)=42 \text{ feet}(12)=504 \text{ inches}$

Next, convert feet into inches.

$6(12)=72\text{ inches}$

Now add up all the inches.

504+72+2=578

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Example Question #146 : Numbers And Operations

Convert hours minutes and seconds into seconds.

Possible Answers:

8125

7995

9005

8045

Correct answer:

8045

Explanation:

Start by converting the hours into seconds. Recall that there are minutes in an hour and seconds in a minute.

2(60)(60)=7200

Thus, there are 7200 seconds in hours.

Next, convert the minutes into seconds.

14(60)=840

There are 840 seconds in minutes.

Now, add together all of the seconds.

7200+840+5=8045

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Example Question #11 : Units And Unit Conversions

You have 34oz of ground beef which you plan on making into hambrugers to grill with your friends. One of your friends is from Europe, and she is used to the metric system. She claims that burgers made with a $\large \frac{1}{4}kg$ of beef are the best. If you decide to make burgers of this size, how many can you make? Round to the nearest whole burger.

Note:

$\large 16 oz= 1lb$

$\large 1kg\approx2.2lbs$

Possible Answers:

$\large 2$

$\large 8$

$\large 4$

$\large 3$

Correct answer:

$\large 4$

Explanation:

Note:

$\large 16 oz= 1lb$

$\large 1kg\approx2.2lbs$

Let's begin by running through what we need to do.

1) Convert 34 oz to pounds

2) Convert the answer to 2) to kilograms

3) Divide the answer to 3) by $\large \frac{1}{4}kg$

Okay, to find the number of pounds we have, do the following:

1) $\large 34oz*\frac{1lb}{16oz}=2.125lb$

So, we have 2.125lbs of ground beef

2) Let's find what 2.125lbs is in kg

$\large 2.125lbs*\frac{1kg}{2.2lb}\approx0.966kg$

So, we have 0.966kg of beef.

3) Finally, let's see how many burgers we can make.

$\large 0.966kg*\frac{1 burger}{0.25kg}=3.863burgers$

Now, we need to round to the nearest burger, so we can make about 4 burgers.

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Example Question #16 : Units And Unit Conversions

If you need 256 inches of cloth, and the store from which you want to buy it only sells it in two-foot increments, how much will you have to buy?

Possible Answers:

$24 \textup{ ft}$

$22 \textup{ ft}$

$20 \textup{ ft}$

$26 \textup{ ft}$

Correct answer:

$22 \textup{ ft}$

Explanation:

One foot is equal to 12 inches, so divide 256 inches by the conversion factor 12 inches/foot to obtain the equivalent in feet:

$256 \textup{ in } \div 12 \textup{ in/ft } = 21 \textup{ ft } \textup{ R }4 \textup{ in}$ .

The next highest even number of feet is 22 feet, the correct choice.

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GED Math : Units and Unit Conversions

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #133 : Numbers And Operations

Example Question #11 : Units And Unit Conversions

Example Question #12 : Units And Unit Conversions

Example Question #13 : Units And Unit Conversions

Example Question #14 : Units And Unit Conversions

Example Question #15 : Units And Unit Conversions

Example Question #145 : Numbers And Operations

Example Question #146 : Numbers And Operations

Example Question #11 : Units And Unit Conversions

Example Question #16 : Units And Unit Conversions

All GED Math Resources

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