Keep, change, flip — then multiply straight across.
To divide any fraction by any fraction, use the Keep-Change-Flip (KCF) algorithm: keep the first fraction as-is, change the division sign to multiplication, and flip the second fraction (take its reciprocal). Then multiply normally.
You have ¾ of a pizza. Each serving is ½ of a pizza. How many servings? ¾ ÷ ½ = ¾ × 2/1 = 6/4 = 3/2 = 1½ servings. There are one and a half servings — which makes sense since ¾ > ½.
Full Example: ⅔ ÷ ⅘
Remember This!
Check your answer's reasonableness. If you divide by a fraction less than 1, your quotient should be larger than the dividend. If you divide by a fraction greater than 1, the quotient is smaller.
What is ¾ ÷ ½?