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Question:

A patient’s urinary drainage bag denotes a total of 480 milliliters of fluid. How many pints of clear fluids must the patient drink in order to replenish their fluid output?

A 1
explanation

We can solve this problem using dimensional analysis. Here are the measurement conversions we will need to know:
1 pint = 2 cups
1 cup = 8 ounces
1 ounce = 30 ml
Step 1: 30 milliliters equals 1 ounce, so 480 milliliters equals 16 ounces.
\(480ml \times \frac{\mathrm{1ounce} }{\mathrm{30ml}} = 16ounces\)
Step 2: 8 ounces equals 1 cup, so 16 ounces equals 2 cups.
\(16 ounces \times \frac{\mathrm{1cup} }{\mathrm{8ounces}} = 2 cups\)
Step 3: Two cups equals 1 pint, which is our answer.
In dimensional analysis, the unit that you want to convert to goes on the top of the fraction. The unit you want to convert from goes on the bottom.

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