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Math Review: Fractions, Decimals, Rounding & more

Master math basics with this guide covering fractions, decimals, operations, and rounding rules. Convert, multiply, divide fractions. Move decimal points, convert fractions to decimals and back, round numbers accurately. Improve math skills!

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Math Review: Fractions, Decimals, Rounding & more

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  1. Pharmacology I Math Review

  2. 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

  3. 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

  4. 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

  5. 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

  6. Decimal rules • Zeroes added AFTER (to the right) of the digit DO NOT change its value • Example 0.8 = 0.80000 • 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

  7. Fraction to Decimal • Divide the numerator by the denominator • Example • 6/30 = 6 ÷ 30 = 0.2 • 3/57 = 3 ÷ 57 = 0.0526 ~ 0.053

  8. 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

  9. 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 = 1220.0 • 0.893 x 1000 = 893

  10. 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 = 0.0008

  11. 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 ~ 4.3 5.68 ~ 5.7

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