Solve for Equal Parts: Finding 3 Children's Share of 3/4 Pie

To solve this problem, we need to determine how much of the pie each child will receive after Ruth's husband has eaten one piece.

Let's break it down step by step:

• Step 1: Determine the remaining pie.
• The pie was cut into 4 equal pieces, and 1 piece was eaten. So, the fraction of the pie remaining is:
• $\frac{4}{4} - \frac{1}{4} = \frac{3}{4}$
• Step 2: Divide the remaining pie among the 3 children.
• To divide $\frac{3}{4}$ equally among 3 children, we perform:
• $\frac{3}{4} \div 3 = \frac{3}{4} \times \frac{1}{3}$
• When multiplying fractions, multiply the numerators and the denominators:
• $\frac{3 \times 1}{4 \times 3} = \frac{3}{12} = \frac{1}{4}$

Thus, each child will receive $\frac{1}{4}$ of the pie.

Therefore, the solution to the problem is $\frac{1}{4}$, which corresponds to choice 2.