Question
or
Mr. Preston bought a block of fudge that weighed 1/2 of a pound. He cut the fudge into 3 equal pieces. What was the weight of each piece of fudge?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answered by
GPT-4o mini
To find the weight of each piece of fudge, we need to divide the total weight of the fudge by the number of pieces.
The total weight of the fudge is \( \frac{1}{2} \) pound, and it is cut into 3 equal pieces. Therefore, we calculate:
\[
\text{Weight of each piece} = \frac{1}{2} \div 3
\]
Dividing by 3 can be expressed as multiplying by the reciprocal:
\[
\frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6}
\]
Thus, the weight of each piece of fudge is \( \frac{1}{6} \) pound.
The total weight of the fudge is \( \frac{1}{2} \) pound, and it is cut into 3 equal pieces. Therefore, we calculate:
\[
\text{Weight of each piece} = \frac{1}{2} \div 3
\]
Dividing by 3 can be expressed as multiplying by the reciprocal:
\[
\frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6}
\]
Thus, the weight of each piece of fudge is \( \frac{1}{6} \) pound.