Solve the fraction multiplication problems in the circles to find the matching answers on the paths and guide your way through the maze.
Maze puzzle worksheet for multiplying fractions with colored circles and paths connecting math problems from start to end.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions Maze 1 - Mr. R.s World of Math
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions Maze 1 - Mr. R.s World of Math
To solve the maze, we need to correctly multiply the fractions at each step and follow the path that leads from "START" to "END." Let's go through the solution step by step.
The first multiplication is:
\[
\frac{1}{4} \times \frac{2}{8}
\]
Multiply the numerators and the denominators:
\[
\frac{1 \times 2}{4 \times 8} = \frac{2}{32} = \frac{1}{16}
\]
So, the correct path from the start is to the circle below with the result \(\frac{1}{16}\).
From the circle with \(\frac{1}{16}\), the next multiplication is:
\[
\frac{4}{5} \times \frac{8}{9}
\]
Multiply the numerators and the denominators:
\[
\frac{4 \times 8}{5 \times 9} = \frac{32}{45}
\]
So, the correct path is to the circle below with the result \(\frac{32}{45}\).
From the circle with \(\frac{32}{45}\), the next multiplication is:
\[
\frac{5}{6} \times \frac{2}{8}
\]
Multiply the numerators and the denominators:
\[
\frac{5 \times 2}{6 \times 8} = \frac{10}{48} = \frac{5}{24}
\]
So, the correct path is to the circle below with the result \(\frac{5}{24}\).
From the circle with \(\frac{5}{24}\), the next multiplication is:
\[
\frac{6}{8} \times \frac{1}{5}
\]
Multiply the numerators and the denominators:
\[
\frac{6 \times 1}{8 \times 5} = \frac{6}{40} = \frac{3}{20}
\]
So, the correct path is to the circle below with the result \(\frac{3}{20}\).
From the circle with \(\frac{3}{20}\), the next multiplication is:
\[
\frac{1}{2} \times \frac{2}{8}
\]
Multiply the numerators and the denominators:
\[
\frac{1 \times 2}{2 \times 8} = \frac{2}{16} = \frac{1}{8}
\]
So, the correct path is to the circle below with the result \(\frac{1}{8}\).
From the circle with \(\frac{1}{8}\), the next multiplication is:
\[
\frac{6}{7} \times \frac{8}{9}
\]
Multiply the numerators and the denominators:
\[
\frac{6 \times 8}{7 \times 9} = \frac{48}{63} = \frac{16}{21}
\]
So, the correct path is to the circle below with the result \(\frac{16}{21}\).
From the circle with \(\frac{16}{21}\), the next multiplication is:
\[
\frac{5}{9} \times \frac{2}{7}
\]
Multiply the numerators and the denominators:
\[
\frac{5 \times 2}{9 \times 7} = \frac{10}{63}
\]
So, the correct path is to the circle below with the result \(\frac{10}{63}\).
From the circle with \(\frac{10}{63}\), the next multiplication is:
\[
\frac{3}{8} \times \frac{4}{5}
\]
Multiply the numerators and the denominators:
\[
\frac{3 \times 4}{8 \times 5} = \frac{12}{40} = \frac{3}{10}
\]
So, the correct path is to the circle below with the result \(\frac{3}{10}\).
The correct path from "START" to "END" is:
\[
\frac{1}{4} \times \frac{2}{8} \rightarrow \frac{4}{5} \times \frac{8}{9} \rightarrow \frac{5}{6} \times \frac{2}{8} \rightarrow \frac{6}{8} \times \frac{1}{5} \rightarrow \frac{1}{2} \times \frac{2}{8} \rightarrow \frac{6}{7} \times \frac{8}{9} \rightarrow \frac{5}{9} \times \frac{2}{7} \rightarrow \frac{3}{8} \times \frac{4}{5}
\]
The final answer is:
\[
\boxed{\text{END}}
\]
Step 1: Start at the top-left corner
The first multiplication is:
\[
\frac{1}{4} \times \frac{2}{8}
\]
Multiply the numerators and the denominators:
\[
\frac{1 \times 2}{4 \times 8} = \frac{2}{32} = \frac{1}{16}
\]
So, the correct path from the start is to the circle below with the result \(\frac{1}{16}\).
Step 2: Move to the next circle
From the circle with \(\frac{1}{16}\), the next multiplication is:
\[
\frac{4}{5} \times \frac{8}{9}
\]
Multiply the numerators and the denominators:
\[
\frac{4 \times 8}{5 \times 9} = \frac{32}{45}
\]
So, the correct path is to the circle below with the result \(\frac{32}{45}\).
Step 3: Move to the next circle
From the circle with \(\frac{32}{45}\), the next multiplication is:
\[
\frac{5}{6} \times \frac{2}{8}
\]
Multiply the numerators and the denominators:
\[
\frac{5 \times 2}{6 \times 8} = \frac{10}{48} = \frac{5}{24}
\]
So, the correct path is to the circle below with the result \(\frac{5}{24}\).
Step 4: Move to the next circle
From the circle with \(\frac{5}{24}\), the next multiplication is:
\[
\frac{6}{8} \times \frac{1}{5}
\]
Multiply the numerators and the denominators:
\[
\frac{6 \times 1}{8 \times 5} = \frac{6}{40} = \frac{3}{20}
\]
So, the correct path is to the circle below with the result \(\frac{3}{20}\).
Step 5: Move to the next circle
From the circle with \(\frac{3}{20}\), the next multiplication is:
\[
\frac{1}{2} \times \frac{2}{8}
\]
Multiply the numerators and the denominators:
\[
\frac{1 \times 2}{2 \times 8} = \frac{2}{16} = \frac{1}{8}
\]
So, the correct path is to the circle below with the result \(\frac{1}{8}\).
Step 6: Move to the next circle
From the circle with \(\frac{1}{8}\), the next multiplication is:
\[
\frac{6}{7} \times \frac{8}{9}
\]
Multiply the numerators and the denominators:
\[
\frac{6 \times 8}{7 \times 9} = \frac{48}{63} = \frac{16}{21}
\]
So, the correct path is to the circle below with the result \(\frac{16}{21}\).
Step 7: Move to the next circle
From the circle with \(\frac{16}{21}\), the next multiplication is:
\[
\frac{5}{9} \times \frac{2}{7}
\]
Multiply the numerators and the denominators:
\[
\frac{5 \times 2}{9 \times 7} = \frac{10}{63}
\]
So, the correct path is to the circle below with the result \(\frac{10}{63}\).
Step 8: Move to the next circle
From the circle with \(\frac{10}{63}\), the next multiplication is:
\[
\frac{3}{8} \times \frac{4}{5}
\]
Multiply the numerators and the denominators:
\[
\frac{3 \times 4}{8 \times 5} = \frac{12}{40} = \frac{3}{10}
\]
So, the correct path is to the circle below with the result \(\frac{3}{10}\).
Final Path
The correct path from "START" to "END" is:
\[
\frac{1}{4} \times \frac{2}{8} \rightarrow \frac{4}{5} \times \frac{8}{9} \rightarrow \frac{5}{6} \times \frac{2}{8} \rightarrow \frac{6}{8} \times \frac{1}{5} \rightarrow \frac{1}{2} \times \frac{2}{8} \rightarrow \frac{6}{7} \times \frac{8}{9} \rightarrow \frac{5}{9} \times \frac{2}{7} \rightarrow \frac{3}{8} \times \frac{4}{5}
\]
The final answer is:
\[
\boxed{\text{END}}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions by whole numbers worksheet riddle 32.