Question

sam bought a 1/3 of a pound of clay for the students in his pottery class. he then divided the clay into 2 equal pieces for his students to use for making vases and pots. how much did each piece weigh?
write your answer as a fraction or as a whole or mixed number.
blank pounds
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Explanation:

Step1: Understand the problem

We need to divide \(\frac{1}{3}\) pound of clay into 2 equal parts. So we use division of fractions: dividing a number by another number is the same as multiplying by its reciprocal.

Step2: Set up the division

To find the weight of each piece, we calculate \(\frac{1}{3}\div2\).

Step3: Convert division to multiplication

Dividing by 2 is the same as multiplying by \(\frac{1}{2}\), so \(\frac{1}{3}\div2=\frac{1}{3}\times\frac{1}{2}\).

Step4: Multiply the fractions

Multiply the numerators and denominators: \(\frac{1\times1}{3\times2}=\frac{1}{6}\).

Answer:

\(\frac{1}{6}\)