multiplying and dividing fraction word problems

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c) = (a*d)/(b*c).

Finding a fraction of a quantity means multiplying the quantity by the fraction. For example, to find 1/3 of 12, calculate 12 * (1/3) = 4.

Identify the quantities involved, determine the operation needed (multiplication or division), and set up the equation using fractions to solve.

36 buckets.

10 doughnuts.

4 1/2 potatoes.

32 days.

2 2/3 lbs.