Question

deion bought 2/3 of a kilogram of clay for the students in his pottery class. he then divided the clay evenly into pieces that were 1/3 of a kilogram. into how many pieces did deion divide the clay? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Identify the operation

We need to divide the total amount of clay by the amount in each piece. The total amount of clay is $\frac{2}{3}$ kg and the amount in each piece is $\frac{1}{3}$ kg. The operation is $\frac{2}{3}\div\frac{1}{3}$.

Step2: Use the rule for dividing fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{2}{3}\div\frac{1}{3}=\frac{2}{3}\times\frac{3}{1}$.

Step3: Multiply the fractions

$\frac{2}{3}\times\frac{3}{1}=\frac{2\times3}{3\times1}=\frac{6}{3} = 2$.

Answer:

2 pieces