Multi-Step Conversions

Any unit of length can be converted to any other unit of length.
Any unit of time can be converted to any other unit of time.
Any unit of volume can be converted to any other unit of volume.
Any unit of mass or weight can be converted to any other unit of mass or weight.

These are multi-step conversions: that is, you will probably need to multiply by 1 more than once.

There may be more than one correct way to reach your final answer.
Since the conversion factors between metric units and English units are approximate,
different correct approaches may yield slightly different answers, as shown in the example below:

EXAMPLE:

Question: Convert

$\,13\,$ yards to centimeters.

Solution: Note the single complete mathematical sentence leading to your answer.

$\displaystyle 13\text{ yd} = 13\text{ yd} \cdot\frac{3\text{ ft}}{1\text{ yd}} \cdot\frac{12\text{ in}}{1\text{ ft}} \cdot\frac{2.5\text{ cm}}{1\text{ in}} = 1170\text{ cm} $

An equally correct approach that yields a slightly different answer is:

$\displaystyle 13\text{ yd} = 13\text{ yd} \cdot\frac{1\text{ m}}{1.1\text{ yd}} \cdot\frac{100\text{ cm}}{1\text{ m}} = 1181.8\text{ cm} $

If more accurate conversion factors were used, then these results would agree more closely.

Feel free to use scrap paper and a calculator to compute your answers.
In this problem set, you will not type in your answers.
You will just compare your answer with the one given here.
As shown in the example above,
depending on how you do the unit conversion,
you may get a slightly different answer than the answer reported here.
Do not despair! If your answer is close, then you're fine!
Use only the conversion information given in the Unit Conversion Tables to compute your answers.

All answers are either exact, or rounded to six decimal places.
It is possible to get $\,0.000000\,$ as an answer.

EXAMPLES:

Convert

$\,3\text{ cm}\,$ to $\,\text{ mm}$:

Answer:

$30$

Convert

$\,11\text{ mm}\,$ to $\,\text{ in}$:

Answer:

$0.44$

Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Rate Problems

(MAX is 87; there are 87 different conversion types.)