# math

posted by
**Brooke** on
.

How do I figure out 6c=__?__pt showing work

See my other response.

=)

Brooke,

You REALLY need to learn to do these systematically. Learn to watch the units, make the ones you don't want cancel, and keep the units you want for the answer.

For example,

looking at the site Writeacher gave you, you will find 2 cups = 1 pint.

We want to convert cups to pints; therefore, 6 cups x conversion factor = ??pints. All you need to do is to determine the factor and use it correctly. You know the conversion factor is 2 cups = 1 pint. Substitute 2 cups = 1 pint for the conversion factor above. It will look like this.

6 cups x (2 cups/1 pint) = 12 cups^{2}/pint. **OOPS!! That isn't what we want.** We want the answer to be something **pints and NOT in cups ^{2}/pint.** So lets turn the factor over like this and try again.

6 cups x (1 pint/2 cups) = 3 pints.

**Notice that the cups in the numerator of the first term cancel with cups in the denominator of the second term and the only unit left is pints in the numerator. Therefore, the answer is in pints and that's what we wanted. So we know we used the right factor.**

Every factor has two "positions" we can use. So we use the one that gives the units we want in the answer. A little practice and you will be able to look at the factor and know immediately which way it goes; i.e., as is or upside down. I hope this helps.