To solve this conversion we have to remember that there are 2 cups per 1 pint.

In order to have cups left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

$\displaystyle \frac{3pts}{1}*\frac{2cups}{1pt}=\frac{6cups}{1}=6cups$

To solve this conversion we have to remember that there are 4 quarts per 1 gallon.

In order to have quarts left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

$\displaystyle \frac{2gal}{1}*\frac{4qts}{1gal}=\frac{8qts}{1}=8qts$

To solve this conversion we have to remember that there are 12 inches per 1 foot.

In order to have feet left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

$\displaystyle \frac{16in}{1}*\frac{1ft}{12in}=\frac{16ft}{12}$

From here we want to reduce the fraction. In order to do so, factor the numerator and denominator and cancel like terms.

$\displaystyle \frac{16ft}{12} =\frac{4\cdot 4ft}{4\cdot 3}=\frac{4ft}{3}=1\frac{1}{3}ft$

To solve this conversion we have to remember that there are 2 pints per 1 quart.

In order to have quarts left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

$\displaystyle \frac{12pts}{1}*\frac{1qt}{2pts}=\frac{12qts}{2}=6qts$

To solve this conversion we have to remember that there are 8 ounces per 1 cup.

In order to have cups left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

$\displaystyle \frac{24oz}{1}*\frac{1cup}{8oz}=\frac{24cups}{8}=3cups$

To solve this conversion we have to remember that there are 4 quarts per 1 gallon.

In order to have gallons left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

$\displaystyle \frac{2qts}{1}*\frac{1gal}{4qts}=\frac{2gal}{4}=\frac{1}{2}gal$

To solve this conversion we have to remember that there are 3 feet per 1 yard.

In order to have yards left as our unit, we need to make sure that the other units cancel out by one being in the numerator and one being in the denominator.

Therefore, set up the following conversion and solve:

$\displaystyle \frac{24ft}{1}*\frac{1yd}{3ft}=\frac{24yd}{3}=8yd$

There are 12 inches in a foot.

$\displaystyle 12 \textup{ inches } = 1 \textup{ foot}$

Write the dimensional analysis to solve for inches.

$\displaystyle 4 \textup{ feet} \times (\frac{12 \textup{ inches}}{1\textup{ foot}}) = 48\textup{ inches}$

In order to complete this conversion we have to know that there are $\displaystyle 10mm$ per $\displaystyle 1cm$. So this problem can be solved by multiplying our "$\displaystyle cm$" by $\displaystyle 10$, or moving the decimal place to the right by $\displaystyle 1$.

$\displaystyle \frac{100cm}{1}\cdot\frac{10mm}{1cm}=1000mm$

In order to complete this conversion we have to know that there are $\displaystyle 1,000g$ per $\displaystyle 1kg$. So this problem can be solved by multiplying our $\displaystyle kg$ by $\displaystyle 1,000$, or moving the decimal place to the right by $\displaystyle 3$.

$\displaystyle \frac{10kg}{1}\cdot\frac{1000g}{1kg}=10,000g$