Review fractions, decimals, and percents

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Presentation transcript:

Review fractions, decimals, and percents Ratios & Proportions Ratios & Proportions Before viewing this tutorial, you must have knowledge of fractions, decimals and percents. Click the link at the bottom of the screen for a review or click the arrow to advance to the next screen. Pima Medical Institute Online Review fractions, decimals, and percents

A ratio is a way of showing the relationship between two numbers Ratios A ratio is a way of showing the relationship between two numbers 1 tablet : 100 mg 100 mg : 1 tablet Written with a colon Written as a fraction 1 tablet 250 mg 1mL 50 mg A ratio is a way of showing the relationship between two numbers. A ratio can be written with a colon. Here’s an example that you might find in pharmacology. 1 tablet : 100 mg or 100 mg : 1 tablet Ratios can also look like fractions. Here’s another example that you might find in pharmacology: 1 tablet / 250 mg. Here’s another example using liquid measurements: 1/50 means that 1 mL contains 50 mg.

If 1 tablet contains 100 mg, then 2 tablets contain 200 mg Proportions A proportion is a way of showing the relationship between two ratios 1 tablet : 100 mg = 2 tablets : 200 mg If 1 tablet contains 100 mg, then 2 tablets contain 200 mg 1 tablet 100 mg 2 tablets 200 mg A proportion shows the relationship between two ratios. If 1 tablet contains 100 mg, then 2 tablets contain 200 mg. The proportion would look like this. 1 tablet : 100 mg = 2 tablets : 200 mg 1 tablet / 100 mg = 2 tablets / 200 mg Remember that one side of the equation must equal the other side. One side of the equation must equal the other side

Solve for an unknown (n) If 1 tablet contains 100 mg, how many milligrams do 4 tablets contain? If 3 values are supplied in a proportion statement, you can solve for the 4th value 1 tablet 100 mg 4 tablets n mg Unknown value (1 tablet)(n mg) (4 tablets)(100 mg) If 3 values are supplied in a proportion statement, you can then use the relationship to solve for the fourth value. For example, if 1 tablet contains 100 mg, how many milligrams do 4 tablets contain? First, identify the ratios. 1 tablet / 100 mg 4 tablets / n mg  Contains unknown value Then put an equals sign between them to set up the proportion statement. Now to solve for n, you cross multiply. Recall that when a unit or number is in both the numerator and denominator, you can cancel them out. This gives us n = 400. Our answer is 4 tablets contain 400 mg. Identify the ratios. Put an equals sign between. Cross multiply. n (4 tablets) (100mg) 1 tablet n 400 mg

Self Test: Ratio and Proportion Now, try it on your own.

Presented by PMI Online Education Resources: Essential Calculations for Veterinary Nurses and Technicians by Terry Lake and Nicola Green Applied Pharmacology for Veterinary Technicians, 4th Edition by Boyce P. Wanabaker and Kathy Lockett Massey