Question

mr. huber bought a block of fudge that weighed 2/5 of a pound. he cut the fudge into 6 equal pieces. what was the weight of each piece of fudge?​

Answer 1

Answer:

$\large \boxed{\frac{1}{15} \text{ lb}}$

Step-by-step explanation:

You are starting with ⅖ lb of fudge. Then you cut it into six pieces.

You want to evaluate ⅖ ÷ 6

1. Treat the integer as a fraction

$\dfrac{2}{5}\div{\dfrac{6}{1}}$

2. Invert the divisor and change divide to multiply

$\dfrac{2}{5}\times{\dfrac{1}{6}}$

3. Divide numerator and denominator by 2

$\dfrac{1}{5}\times{\dfrac{1}{3}}$

4. Multiply numerators and denominators

$\dfrac{1}{5}\times{\dfrac{1}{3}} = \mathbf{\dfrac{1}{15}}\\\\\text{Each piece of fudge weighs \large \boxed{\mathbf{\frac{1}{15}} \textbf{ lb}} }$