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Pharmacology I Math Review

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**Fractions – add or subtract**

Convert to equivalent fraction with like denominators Perform math on numerators Example ½ + 1/8 = 4/8 + 1/8 = 5/8 11/12 – 17/24 = 22/24 – 17/24 = 2/24

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**Fractions - multiplication**

Multiply numerators and multiply denominators Example ¾ x 2/3 = 6/12 11/2 x 3/7 = 3/2 x 3/7 = 9/14

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Fractions – division Invert the divisor, then multiply the numerators and denominators Examples 7/8 ÷ 3/5 = 7/8 x 5/3 = 35/24 Reduce answer to lowest terms 1 11/24 8/12 ÷ 3/7 = 8/12 ÷ 7/3 = 56/36 Reduce answer to lowest terms = 1 5/9

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Decimals A fraction with a denominator of 10, 100, 1000 or any multiple of 10 The position of the number in relation to the decimal point indicates its value Example 8.0 vs 0.8 vs. 0.08

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Decimal rules Zeroes added AFTER (to the right) of the digit DO NOT change its value Example 0.8 = ALWAYS place a zero to the LEFT of the decimal point if there is not a number to go there Example 0.8 NOT .8

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**Fraction to Decimal Divide the numerator by the denominator Example**

6/30 = 6 ÷ 30 = 0.2 3/57 = 3 ÷ 57 = ~ 0.053

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**Decimal to Fraction Place the number in the numerator place**

Make the denominator be 10 or a multiple of it Reduce to lowest terms Example 0.93 = 93/100 5.03 = 5 3/100

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**Decimals - multiplying**

When multiplying by a power of ten, move the decimal point as many places to the right as there are zeroes in the multiplier Example 12.2 x 100 = 0.893 x 1000 = 893

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Decimals - dividing When dividing by a power of ten, move the decimal point to the left as many places as there are zeroes in the divisor Example 63.8 ÷ 100 = 0.638 0.008 ÷ 10 =

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Rounding Do not change the number in tenths place, if the number in hundredths place is 4 or less Increase the number in tenths place by 1 if the number in hundredths place is 5 or more Example 4.32 ~ ~ 5.7

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