GED Math - Units and Unit Conversions

Convert 2.5 years to days. Assume that the years in question are not leap years. Round to the nearest day.

$913\ days$

$30\ days$

$5\ days$

$146\ days$

Explanation

$\small 1\ year=365\ days$

Make sure that your units cross out properly.

$\small \frac{2.5\ years}{1}\times \frac{365\ days}{1\ year}=912.5\ days= 913\ days$

I have of rope. How much is that in ?

Explanation

There are in . So if we want to know how many we have, we can simply multiply our number of , , by how many are in a , .

There are in .

Our answer is

I have of string. How much is that in ?

Explanation

There are in , so in order to solve this problem we must multiply by to convert this to .

is equal to , so this is our answer.

Our answer is .

A high school student runs one fourth of a mile in two minutes and thirty seconds. What is his average speed in miles per hour?

$6 \textup{ mi/hr}$

$8 \textup{ mi/hr}$

$7 \frac{1}{2}\textup{ mi/hr}$

$6\frac{2}{3} \textup{ mi/hr}$

Explanation

Use division to rewrite the runner's speed in terms of miles per minute. One fourth of a mile run in two minutes and thirty seconds can be restated as

$\frac{\frac{1}{4}}{2 \frac{1}{2}} = \frac{1}{4} \div 2 \frac{1}{2}$ miles per minute.

Divide the fractions by first rewriting the latter as an improper fraction:

$= \frac{1}{4} \div \frac{2 \times 2 + 1}{2}$

$= \frac{1}{4} \div \frac{4 + 1}{2}$

$= \frac{1}{4} \div \frac{5}{2}$

Rewrite as a product of fractions by taking the reciprocal of the latter number:

$= \frac{1}{4} \times \frac{2}{5}$

Cross-cancel, then multiply across:

$= \frac{1}{2} \times \frac{1}{5}$

$= \frac{1}{10}$ miles per minute.

Since 60 minutes make one hour, multiply by 60 minutes per hour:

$\frac{1}{10} \times 60$

Put the 60 over 1, cross-cancel, and multiply across:

$= \frac{1}{10} \times \frac{60}{1}$

$=\frac{1}{1} \times \frac{6}{1}$

$= \frac{6}{1} = 6$

The runner's speed is 6 miles per hour.

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?

$22 \textup{ ft}$

$20 \textup{ ft}$

$26 \textup{ ft}$

$24 \textup{ ft}$

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.

Convert 10 yards to inches.

$\frac{5}{2}$

$\frac{5}{18}$

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:

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

$C = \frac{5}{9} (F-32)$ .

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

$F = \frac{9}{5} C + 32$ .

Anja, a German woman visiting St. Louis, is confused by a weather report that says that the temperature today is to reach a peak of 58 degrees. This being an American weather report, that temperature is expressed in degrees Fahrenheit, but being German, Anja is used to the Celsius temperature scale. To the nearest degree, convert the predicted peak temperature to Celsius.

$14^{\circ }\textrm{C}$

$162^{\circ }\textrm{C}$

$0^{\circ }\textrm{C}$

$136^{\circ }\textrm{C}$

Explanation

We are converting Fahrenheit to Celsius, so we use the formula

$C = \frac{5}{9} (F-32)$ .

Substitute to calculate the value of :

$C = \frac{5}{9} (58-32) = \frac{5}{9} \cdot 26 = 14.444...$

The temperature, expressed in degrees Celsius, is $14^{\circ }\textrm{C}$ .

I have of candy rope. How much is that in ?

Explanation

Since the conversion we are asking for is from two different metric systems, the conversion rate will not be a whole number.

While it differs slightly, the conversion we will use for to is

We have , so in order to convert that to we'll have to multiply our number by .

Our answer is

I have of rope. How much is that in ?

Explanation

There are two ways you can solve this problem.

First, know that every makes up . So let's convert our into for now. To do this, we will take our and divide it by to get the correct amount of .

$\frac{1000}{10}=100$

We now have . To get to , we must know that for every we get . To convert our to , we will divide our by .

$\frac{100}{100}=1$

We now have ,which is our answer.

The second way to do this problem is if you know how many are in a and how many are in a . Simply take how many are in a and how many are in a and multiply them together. Then, use that number to divide by .

$\frac{1000}{1000}=1$

Our answer is .

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.