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Fractions – Multiplying & Dividing

Why This Matters for Nursing: Drug calculations often require multiplying fractions. "Give ½ of a ¾ mg dose" means ½ × ¾ = ⅜ mg. Dividing fractions helps when splitting doses among patients or time intervals.

What You Need to Know

Great news: Multiplying and dividing fractions is actually EASIER than adding them—no common denominators needed!

Multiplication Rule

Multiply straight across: top × top, bottom × bottom

2/3 × 4/5 = (2×4)/(3×5) = 8/15

Division Rule

Keep, Change, Flip (KCF): Keep the first fraction, Change ÷ to ×, Flip the second fraction

2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6

KEEP CHANGE FLIP 2/3 unchanged ÷ × ÷ becomes × 4 5 original 5 4 flipped!

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