Fraction Jigsaw Puzzle | Aiming High Teacher Network - Free Printable
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Step-by-step solution for: Fraction Jigsaw Puzzle | Aiming High Teacher Network
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Show Answer Key & Explanations
Step-by-step solution for: Fraction Jigsaw Puzzle | Aiming High Teacher Network
The image appears to be a grid of fractions and operations, where each cell contains either a fraction or an arithmetic operation involving fractions. The task seems to involve simplifying or solving the expressions in the shaded cells.
#### 1. Identify the Shaded Cells:
The shaded cells contain expressions that need to be simplified. We will solve each expression step by step.
---
#### Top Row:
1. First Cell (Shaded):
\[
3 \times \frac{1}{8}
\]
Simplify:
\[
3 \times \frac{1}{8} = \frac{3}{8}
\]
2. Second Cell (Shaded):
\[
\frac{9}{12}
\]
Simplify:
\[
\frac{9}{12} = \frac{3}{4}
\]
3. Third Cell (Shaded):
\[
\frac{4}{10}
\]
Simplify:
\[
\frac{4}{10} = \frac{2}{5}
\]
4. Fourth Cell (Shaded):
\[
\frac{6}{8}
\]
Simplify:
\[
\frac{6}{8} = \frac{3}{4}
\]
5. Fifth Cell (Shaded):
\[
\frac{2}{5}
\]
Already simplified.
---
#### Second Row:
1. First Cell (Shaded):
\[
\frac{8}{12}
\]
Simplify:
\[
\frac{8}{12} = \frac{2}{3}
\]
2. Second Cell (Shaded):
\[
\frac{6}{6}
\]
Simplify:
\[
\frac{6}{6} = 1
\]
3. Third Cell (Shaded):
\[
\frac{1}{2} + \frac{2}{8}
\]
Simplify:
\[
\frac{1}{2} + \frac{2}{8} = \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}
\]
4. Fourth Cell (Shaded):
\[
\frac{3}{4}
\]
Already simplified.
5. Fifth Cell (Shaded):
\[
\frac{7}{8} - \frac{1}{2}
\]
Simplify:
\[
\frac{7}{8} - \frac{1}{2} = \frac{7}{8} - \frac{4}{8} = \frac{3}{8}
\]
---
#### Third Row:
1. First Cell (Shaded):
\[
\frac{2}{4}
\]
Simplify:
\[
\frac{2}{4} = \frac{1}{2}
\]
2. Second Cell (Shaded):
\[
\frac{3}{11}
\]
Already simplified.
3. Third Cell (Shaded):
\[
\frac{1}{24}
\]
Already simplified.
4. Fourth Cell (Shaded):
\[
\frac{12}{16}
\]
Simplify:
\[
\frac{12}{16} = \frac{3}{4}
\]
5. Fifth Cell (Shaded):
\[
\frac{3}{8}
\]
Already simplified.
---
#### Fourth Row:
1. First Cell (Shaded):
\[
\frac{3}{8}
\]
Already simplified.
2. Second Cell (Shaded):
\[
\frac{1}{3} + \frac{1}{3}
\]
Simplify:
\[
\frac{1}{3} + \frac{1}{3} = \frac{2}{3}
\]
3. Third Cell (Shaded):
\[
\frac{1}{4}
\]
Already simplified.
4. Fourth Cell (Shaded):
\[
\frac{3}{15}
\]
Simplify:
\[
\frac{3}{15} = \frac{1}{5}
\]
5. Fifth Cell (Shaded):
\[
\frac{3}{8} - \frac{2}{8}
\]
Simplify:
\[
\frac{3}{8} - \frac{2}{8} = \frac{1}{8}
\]
---
#### Fifth Row:
1. First Cell (Shaded):
\[
\frac{1}{3} + \frac{2}{5}
\]
Simplify:
\[
\frac{1}{3} + \frac{2}{5} = \frac{5}{15} + \frac{6}{15} = \frac{11}{15}
\]
2. Second Cell (Shaded):
\[
\frac{10}{100}
\]
Simplify:
\[
\frac{10}{100} = \frac{1}{10}
\]
3. Third Cell (Shaded):
\[
\frac{6}{80}
\]
Simplify:
\[
\frac{6}{80} = \frac{3}{40}
\]
4. Fourth Cell (Shaded):
\[
\frac{1}{2}
\]
Already simplified.
5. Fifth Cell (Shaded):
\[
\frac{3}{10} + \frac{6}{10}
\]
Simplify:
\[
\frac{3}{10} + \frac{6}{10} = \frac{9}{10}
\]
---
The simplified values for the shaded cells are:
\[
\boxed{\frac{3}{8}, \frac{3}{4}, \frac{2}{5}, \frac{3}{4}, \frac{2}{5}, \frac{2}{3}, 1, \frac{3}{4}, \frac{3}{8}, \frac{1}{2}, \frac{3}{11}, \frac{1}{24}, \frac{3}{4}, \frac{3}{8}, \frac{11}{15}, \frac{1}{10}, \frac{3}{40}, \frac{1}{2}, \frac{9}{10}}
\]
Step-by-Step Solution:
#### 1. Identify the Shaded Cells:
The shaded cells contain expressions that need to be simplified. We will solve each expression step by step.
---
#### Top Row:
1. First Cell (Shaded):
\[
3 \times \frac{1}{8}
\]
Simplify:
\[
3 \times \frac{1}{8} = \frac{3}{8}
\]
2. Second Cell (Shaded):
\[
\frac{9}{12}
\]
Simplify:
\[
\frac{9}{12} = \frac{3}{4}
\]
3. Third Cell (Shaded):
\[
\frac{4}{10}
\]
Simplify:
\[
\frac{4}{10} = \frac{2}{5}
\]
4. Fourth Cell (Shaded):
\[
\frac{6}{8}
\]
Simplify:
\[
\frac{6}{8} = \frac{3}{4}
\]
5. Fifth Cell (Shaded):
\[
\frac{2}{5}
\]
Already simplified.
---
#### Second Row:
1. First Cell (Shaded):
\[
\frac{8}{12}
\]
Simplify:
\[
\frac{8}{12} = \frac{2}{3}
\]
2. Second Cell (Shaded):
\[
\frac{6}{6}
\]
Simplify:
\[
\frac{6}{6} = 1
\]
3. Third Cell (Shaded):
\[
\frac{1}{2} + \frac{2}{8}
\]
Simplify:
\[
\frac{1}{2} + \frac{2}{8} = \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}
\]
4. Fourth Cell (Shaded):
\[
\frac{3}{4}
\]
Already simplified.
5. Fifth Cell (Shaded):
\[
\frac{7}{8} - \frac{1}{2}
\]
Simplify:
\[
\frac{7}{8} - \frac{1}{2} = \frac{7}{8} - \frac{4}{8} = \frac{3}{8}
\]
---
#### Third Row:
1. First Cell (Shaded):
\[
\frac{2}{4}
\]
Simplify:
\[
\frac{2}{4} = \frac{1}{2}
\]
2. Second Cell (Shaded):
\[
\frac{3}{11}
\]
Already simplified.
3. Third Cell (Shaded):
\[
\frac{1}{24}
\]
Already simplified.
4. Fourth Cell (Shaded):
\[
\frac{12}{16}
\]
Simplify:
\[
\frac{12}{16} = \frac{3}{4}
\]
5. Fifth Cell (Shaded):
\[
\frac{3}{8}
\]
Already simplified.
---
#### Fourth Row:
1. First Cell (Shaded):
\[
\frac{3}{8}
\]
Already simplified.
2. Second Cell (Shaded):
\[
\frac{1}{3} + \frac{1}{3}
\]
Simplify:
\[
\frac{1}{3} + \frac{1}{3} = \frac{2}{3}
\]
3. Third Cell (Shaded):
\[
\frac{1}{4}
\]
Already simplified.
4. Fourth Cell (Shaded):
\[
\frac{3}{15}
\]
Simplify:
\[
\frac{3}{15} = \frac{1}{5}
\]
5. Fifth Cell (Shaded):
\[
\frac{3}{8} - \frac{2}{8}
\]
Simplify:
\[
\frac{3}{8} - \frac{2}{8} = \frac{1}{8}
\]
---
#### Fifth Row:
1. First Cell (Shaded):
\[
\frac{1}{3} + \frac{2}{5}
\]
Simplify:
\[
\frac{1}{3} + \frac{2}{5} = \frac{5}{15} + \frac{6}{15} = \frac{11}{15}
\]
2. Second Cell (Shaded):
\[
\frac{10}{100}
\]
Simplify:
\[
\frac{10}{100} = \frac{1}{10}
\]
3. Third Cell (Shaded):
\[
\frac{6}{80}
\]
Simplify:
\[
\frac{6}{80} = \frac{3}{40}
\]
4. Fourth Cell (Shaded):
\[
\frac{1}{2}
\]
Already simplified.
5. Fifth Cell (Shaded):
\[
\frac{3}{10} + \frac{6}{10}
\]
Simplify:
\[
\frac{3}{10} + \frac{6}{10} = \frac{9}{10}
\]
---
Final Answer:
The simplified values for the shaded cells are:
\[
\boxed{\frac{3}{8}, \frac{3}{4}, \frac{2}{5}, \frac{3}{4}, \frac{2}{5}, \frac{2}{3}, 1, \frac{3}{4}, \frac{3}{8}, \frac{1}{2}, \frac{3}{11}, \frac{1}{24}, \frac{3}{4}, \frac{3}{8}, \frac{11}{15}, \frac{1}{10}, \frac{3}{40}, \frac{1}{2}, \frac{9}{10}}
\]
Parent Tip: Review the logic above to help your child master the concept of fraction puzzle worksheet.