Fraction Coloring Worksheets - Math Monks - Free Printable
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Step-by-step solution for: Fraction Coloring Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Fraction Coloring Worksheets - Math Monks
To solve this coloring worksheet, we need to simplify each fraction found in the picture and match it to the color code provided at the top.
Color Code Key:
* Red: $\frac{3}{5}$
* Green: $\frac{2}{5}$
* Brown: $\frac{4}{5}$
* Orange: $\frac{1}{6}$
* Violet: $\frac{4}{7}$
* Pink: $\frac{5}{6}$
Here is the step-by-step simplification for every section of the puzzle:
1. $\frac{15}{25}$ (Left Ear Tip): Divide top and bottom by 5.
* $15 \div 5 = 3$
* $25 \div 5 = 5$
* Result: $\frac{3}{5}$ (Red)
2. $\frac{28}{70}$ (Left Ear Outer Edge): Divide top and bottom by 14.
* $28 \div 14 = 2$
* $70 \div 14 = 5$
* Result: $\frac{2}{5}$ (Green)
3. $\frac{6}{10}$ (Left Ear Inner Base): Divide top and bottom by 2.
* $6 \div 2 = 3$
* $10 \div 2 = 5$
* Result: $\frac{3}{5}$ (Red)
4. $\frac{11}{66}$ (Left Ear Inner Tip): Divide top and bottom by 11.
* $11 \div 11 = 1$
* $66 \div 11 = 6$
* Result: $\frac{1}{6}$ (Orange)
5. $\frac{9}{15}$ (Right Ear Top): Divide top and bottom by 3.
* $9 \div 3 = 3$
* $15 \div 3 = 5$
* Result: $\frac{3}{5}$ (Red)
6. $\frac{8}{20}$ (Right Ear Tip): Divide top and bottom by 4.
* $8 \div 4 = 2$
* $20 \div 4 = 5$
* Result: $\frac{2}{5}$ (Green)
7. $\frac{8}{48}$ (Right Ear Outer Edge): Divide top and bottom by 8.
* $8 \div 8 = 1$
* $48 \div 8 = 6$
* Result: $\frac{1}{6}$ (Orange)
8. $\frac{33}{55}$ (Top of Head/Forehead): Divide top and bottom by 11.
* $33 \div 11 = 3$
* $55 \div 11 = 5$
* Result: $\frac{3}{5}$ (Red)
9. $\frac{20}{25}$ (Left Cheek/Head side): Divide top and bottom by 5.
* $20 \div 5 = 4$
* $25 \div 5 = 5$
* Result: $\frac{4}{5}$ (Brown)
10. $\frac{10}{12}$ (Left Eye Patch): Divide top and bottom by 2.
* $10 \div 2 = 5$
* $12 \div 2 = 6$
* Result: $\frac{5}{6}$ (Pink)
11. $\frac{8}{14}$ (Between Eyes): Divide top and bottom by 2.
* $8 \div 2 = 4$
* $14 \div 2 = 7$
* Result: $\frac{4}{7}$ (Violet)
12. $\frac{16}{20}$ (Right Cheek/Head side): Divide top and bottom by 4.
* $16 \div 4 = 4$
* $20 \div 4 = 5$
* Result: $\frac{4}{5}$ (Brown)
13. $\frac{4}{10}$ (Right Eye Patch): Divide top and bottom by 2.
* $4 \div 2 = 2$
* $10 \div 2 = 5$
* Result: $\frac{2}{5}$ (Green)
14. $\frac{4}{24}$ (Right Eye White): Divide top and bottom by 4.
* $4 \div 4 = 1$
* $24 \div 4 = 6$
* Result: $\frac{1}{6}$ (Orange)
15. $\frac{2}{12}$ (Far Right Side): Divide top and bottom by 2.
* $2 \div 2 = 1$
* $12 \div 2 = 6$
* Result: $\frac{1}{6}$ (Orange)
16. $\frac{3}{18}$ (Left Side Neck): Divide top and bottom by 3.
* $3 \div 3 = 1$
* $18 \div 3 = 6$
* Result: $\frac{1}{6}$ (Orange)
17. $\frac{6}{10}$ (Left Jaw): Divide top and bottom by 2.
* $6 \div 2 = 3$
* $10 \div 2 = 5$
* Result: $\frac{3}{5}$ (Red)
18. $\frac{12}{20}$ (Left Under Eye): Divide top and bottom by 4.
* $12 \div 4 = 3$
* $20 \div 4 = 5$
* Result: $\frac{3}{5}$ (Red)
19. $\frac{5}{30}$ (Left Chin): Divide top and bottom by 5.
* $5 \div 5 = 1$
* $30 \div 5 = 6$
* Result: $\frac{1}{6}$ (Orange)
20. $\frac{8}{10}$ (Nose): Divide top and bottom by 2.
* $8 \div 2 = 4$
* $10 \div 2 = 5$
* Result: $\frac{4}{5}$ (Brown)
21. $\frac{3}{5}$ (Mouth/Tongue area): Already simplified.
* Result: $\frac{3}{5}$ (Red)
22. $\frac{12}{21}$ (Left Whisker area): Divide top and bottom by 3.
* $12 \div 3 = 4$
* $21 \div 3 = 7$
* Result: $\frac{4}{7}$ (Violet)
23. $\frac{27}{45}$ (Right Under Eye): Divide top and bottom by 9.
* $27 \div 9 = 3$
* $45 \div 9 = 5$
* Result: $\frac{3}{5}$ (Red)
24. $\frac{42}{70}$ (Right Jaw): Divide top and bottom by 14.
* $42 \div 14 = 3$
* $70 \div 14 = 5$
* Result: $\frac{3}{5}$ (Red)
25. $\frac{15}{18}$ (Right Whisker area): Divide top and bottom by 3.
* $15 \div 3 = 5$
* $18 \div 3 = 6$
* Result: $\frac{5}{6}$ (Pink)
26. $\frac{9}{54}$ (Left Arm Tip): Divide top and bottom by 9.
* $9 \div 9 = 1$
* $54 \div 9 = 6$
* Result: $\frac{1}{6}$ (Orange)
27. $\frac{28}{35}$ (Left Arm Middle): Divide top and bottom by 7.
* $28 \div 7 = 4$
* $35 \div 7 = 5$
* Result: $\frac{4}{5}$ (Brown)
28. $\frac{16}{28}$ (Left Leg Upper): Divide top and bottom by 4.
* $16 \div 4 = 4$
* $28 \div 4 = 7$
* Result: $\frac{4}{7}$ (Violet)
29. $\frac{6}{15}$ (Left Leg Lower): Divide top and bottom by 3.
* $6 \div 3 = 2$
* $15 \div 3 = 5$
* Result: $\frac{2}{5}$ (Green)
30. $\frac{10}{60}$ (Bottom Left Corner): Divide top and bottom by 10.
* $10 \div 10 = 1$
* $60 \div 10 = 6$
* Result: $\frac{1}{6}$ (Orange)
31. $\frac{10}{25}$ (Belly Left): Divide top and bottom by 5.
* $10 \div 5 = 2$
* $25 \div 5 = 5$
* Result: $\frac{2}{5}$ (Green)
32. $\frac{12}{30}$ (Belly Center): Divide top and bottom by 6.
* $12 \div 6 = 2$
* $30 \div 6 = 5$
* Result: $\frac{2}{5}$ (Green)
33. $\frac{32}{56}$ (Belly Bottom): Divide top and bottom by 8.
* $32 \div 8 = 4$
* $56 \div 8 = 7$
* Result: $\frac{4}{7}$ (Violet)
34. $\frac{30}{50}$ (Right Arm Upper): Divide top and bottom by 10.
* $30 \div 10 = 3$
* $50 \div 10 = 5$
* Result: $\frac{3}{5}$ (Red)
35. $\frac{20}{24}$ (Right Arm Middle): Divide top and bottom by 4.
* $20 \div 4 = 5$
* $24 \div 4 = 6$
* Result: $\frac{5}{6}$ (Pink)
36. $\frac{12}{15}$ (Right Arm Lower): Divide top and bottom by 3.
* $12 \div 3 = 4$
* $15 \div 3 = 5$
* Result: $\frac{4}{5}$ (Brown)
37. $\frac{16}{40}$ (Right Leg Upper): Divide top and bottom by 8.
* $16 \div 8 = 2$
* $40 \div 8 = 5$
* Result: $\frac{2}{5}$ (Green)
38. $\frac{7}{42}$ (Right Leg Middle): Divide top and bottom by 7.
* $7 \div 7 = 1$
* $42 \div 7 = 6$
* Result: $\frac{1}{6}$ (Orange)
39. $\frac{21}{35}$ (Right Leg Lower): Divide top and bottom by 7.
* $21 \div 7 = 3$
* $35 \div 7 = 5$
* Result: $\frac{3}{5}$ (Red)
40. $\frac{20}{35}$ (Bottom Right Corner): Divide top and bottom by 5.
* $20 \div 5 = 4$
* $35 \div 5 = 7$
* Result: $\frac{4}{7}$ (Violet)
Final Answer:
Here is the list of colors for each fraction to complete the worksheet:
* Red ($\frac{3}{5}$): $\frac{15}{25}, \frac{6}{10}, \frac{9}{15}, \frac{33}{55}, \frac{6}{10}, \frac{12}{20}, \frac{3}{5}, \frac{27}{45}, \frac{42}{70}, \frac{30}{50}, \frac{21}{35}$
* Green ($\frac{2}{5}$): $\frac{28}{70}, \frac{8}{20}, \frac{4}{10}, \frac{6}{15}, \frac{10}{25}, \frac{12}{30}, \frac{16}{40}$
* Brown ($\frac{4}{5}$): $\frac{20}{25}, \frac{16}{20}, \frac{8}{10}, \frac{28}{35}, \frac{12}{15}$
* Orange ($\frac{1}{6}$): $\frac{11}{66}, \frac{8}{48}, \frac{4}{24}, \frac{2}{12}, \frac{3}{18}, \frac{5}{30}, \frac{9}{54}, \frac{10}{60}, \frac{7}{42}$
* Violet ($\frac{4}{7}$): $\frac{8}{14}, \frac{12}{21}, \frac{16}{28}, \frac{32}{56}, \frac{20}{35}$
* Pink ($\frac{5}{6}$): $\frac{10}{12}, \frac{15}{18}, \frac{20}{24}$
Color Code Key:
* Red: $\frac{3}{5}$
* Green: $\frac{2}{5}$
* Brown: $\frac{4}{5}$
* Orange: $\frac{1}{6}$
* Violet: $\frac{4}{7}$
* Pink: $\frac{5}{6}$
Here is the step-by-step simplification for every section of the puzzle:
Step 1: Simplify the Fractions on the Ears and Head
1. $\frac{15}{25}$ (Left Ear Tip): Divide top and bottom by 5.
* $15 \div 5 = 3$
* $25 \div 5 = 5$
* Result: $\frac{3}{5}$ (Red)
2. $\frac{28}{70}$ (Left Ear Outer Edge): Divide top and bottom by 14.
* $28 \div 14 = 2$
* $70 \div 14 = 5$
* Result: $\frac{2}{5}$ (Green)
3. $\frac{6}{10}$ (Left Ear Inner Base): Divide top and bottom by 2.
* $6 \div 2 = 3$
* $10 \div 2 = 5$
* Result: $\frac{3}{5}$ (Red)
4. $\frac{11}{66}$ (Left Ear Inner Tip): Divide top and bottom by 11.
* $11 \div 11 = 1$
* $66 \div 11 = 6$
* Result: $\frac{1}{6}$ (Orange)
5. $\frac{9}{15}$ (Right Ear Top): Divide top and bottom by 3.
* $9 \div 3 = 3$
* $15 \div 3 = 5$
* Result: $\frac{3}{5}$ (Red)
6. $\frac{8}{20}$ (Right Ear Tip): Divide top and bottom by 4.
* $8 \div 4 = 2$
* $20 \div 4 = 5$
* Result: $\frac{2}{5}$ (Green)
7. $\frac{8}{48}$ (Right Ear Outer Edge): Divide top and bottom by 8.
* $8 \div 8 = 1$
* $48 \div 8 = 6$
* Result: $\frac{1}{6}$ (Orange)
8. $\frac{33}{55}$ (Top of Head/Forehead): Divide top and bottom by 11.
* $33 \div 11 = 3$
* $55 \div 11 = 5$
* Result: $\frac{3}{5}$ (Red)
Step 2: Simplify the Face and Eyes Area
9. $\frac{20}{25}$ (Left Cheek/Head side): Divide top and bottom by 5.
* $20 \div 5 = 4$
* $25 \div 5 = 5$
* Result: $\frac{4}{5}$ (Brown)
10. $\frac{10}{12}$ (Left Eye Patch): Divide top and bottom by 2.
* $10 \div 2 = 5$
* $12 \div 2 = 6$
* Result: $\frac{5}{6}$ (Pink)
11. $\frac{8}{14}$ (Between Eyes): Divide top and bottom by 2.
* $8 \div 2 = 4$
* $14 \div 2 = 7$
* Result: $\frac{4}{7}$ (Violet)
12. $\frac{16}{20}$ (Right Cheek/Head side): Divide top and bottom by 4.
* $16 \div 4 = 4$
* $20 \div 4 = 5$
* Result: $\frac{4}{5}$ (Brown)
13. $\frac{4}{10}$ (Right Eye Patch): Divide top and bottom by 2.
* $4 \div 2 = 2$
* $10 \div 2 = 5$
* Result: $\frac{2}{5}$ (Green)
14. $\frac{4}{24}$ (Right Eye White): Divide top and bottom by 4.
* $4 \div 4 = 1$
* $24 \div 4 = 6$
* Result: $\frac{1}{6}$ (Orange)
15. $\frac{2}{12}$ (Far Right Side): Divide top and bottom by 2.
* $2 \div 2 = 1$
* $12 \div 2 = 6$
* Result: $\frac{1}{6}$ (Orange)
Step 3: Simplify the Nose, Mouth, and Lower Face
16. $\frac{3}{18}$ (Left Side Neck): Divide top and bottom by 3.
* $3 \div 3 = 1$
* $18 \div 3 = 6$
* Result: $\frac{1}{6}$ (Orange)
17. $\frac{6}{10}$ (Left Jaw): Divide top and bottom by 2.
* $6 \div 2 = 3$
* $10 \div 2 = 5$
* Result: $\frac{3}{5}$ (Red)
18. $\frac{12}{20}$ (Left Under Eye): Divide top and bottom by 4.
* $12 \div 4 = 3$
* $20 \div 4 = 5$
* Result: $\frac{3}{5}$ (Red)
19. $\frac{5}{30}$ (Left Chin): Divide top and bottom by 5.
* $5 \div 5 = 1$
* $30 \div 5 = 6$
* Result: $\frac{1}{6}$ (Orange)
20. $\frac{8}{10}$ (Nose): Divide top and bottom by 2.
* $8 \div 2 = 4$
* $10 \div 2 = 5$
* Result: $\frac{4}{5}$ (Brown)
21. $\frac{3}{5}$ (Mouth/Tongue area): Already simplified.
* Result: $\frac{3}{5}$ (Red)
22. $\frac{12}{21}$ (Left Whisker area): Divide top and bottom by 3.
* $12 \div 3 = 4$
* $21 \div 3 = 7$
* Result: $\frac{4}{7}$ (Violet)
23. $\frac{27}{45}$ (Right Under Eye): Divide top and bottom by 9.
* $27 \div 9 = 3$
* $45 \div 9 = 5$
* Result: $\frac{3}{5}$ (Red)
24. $\frac{42}{70}$ (Right Jaw): Divide top and bottom by 14.
* $42 \div 14 = 3$
* $70 \div 14 = 5$
* Result: $\frac{3}{5}$ (Red)
25. $\frac{15}{18}$ (Right Whisker area): Divide top and bottom by 3.
* $15 \div 3 = 5$
* $18 \div 3 = 6$
* Result: $\frac{5}{6}$ (Pink)
Step 4: Simplify the Body, Arms, and Legs
26. $\frac{9}{54}$ (Left Arm Tip): Divide top and bottom by 9.
* $9 \div 9 = 1$
* $54 \div 9 = 6$
* Result: $\frac{1}{6}$ (Orange)
27. $\frac{28}{35}$ (Left Arm Middle): Divide top and bottom by 7.
* $28 \div 7 = 4$
* $35 \div 7 = 5$
* Result: $\frac{4}{5}$ (Brown)
28. $\frac{16}{28}$ (Left Leg Upper): Divide top and bottom by 4.
* $16 \div 4 = 4$
* $28 \div 4 = 7$
* Result: $\frac{4}{7}$ (Violet)
29. $\frac{6}{15}$ (Left Leg Lower): Divide top and bottom by 3.
* $6 \div 3 = 2$
* $15 \div 3 = 5$
* Result: $\frac{2}{5}$ (Green)
30. $\frac{10}{60}$ (Bottom Left Corner): Divide top and bottom by 10.
* $10 \div 10 = 1$
* $60 \div 10 = 6$
* Result: $\frac{1}{6}$ (Orange)
31. $\frac{10}{25}$ (Belly Left): Divide top and bottom by 5.
* $10 \div 5 = 2$
* $25 \div 5 = 5$
* Result: $\frac{2}{5}$ (Green)
32. $\frac{12}{30}$ (Belly Center): Divide top and bottom by 6.
* $12 \div 6 = 2$
* $30 \div 6 = 5$
* Result: $\frac{2}{5}$ (Green)
33. $\frac{32}{56}$ (Belly Bottom): Divide top and bottom by 8.
* $32 \div 8 = 4$
* $56 \div 8 = 7$
* Result: $\frac{4}{7}$ (Violet)
34. $\frac{30}{50}$ (Right Arm Upper): Divide top and bottom by 10.
* $30 \div 10 = 3$
* $50 \div 10 = 5$
* Result: $\frac{3}{5}$ (Red)
35. $\frac{20}{24}$ (Right Arm Middle): Divide top and bottom by 4.
* $20 \div 4 = 5$
* $24 \div 4 = 6$
* Result: $\frac{5}{6}$ (Pink)
36. $\frac{12}{15}$ (Right Arm Lower): Divide top and bottom by 3.
* $12 \div 3 = 4$
* $15 \div 3 = 5$
* Result: $\frac{4}{5}$ (Brown)
37. $\frac{16}{40}$ (Right Leg Upper): Divide top and bottom by 8.
* $16 \div 8 = 2$
* $40 \div 8 = 5$
* Result: $\frac{2}{5}$ (Green)
38. $\frac{7}{42}$ (Right Leg Middle): Divide top and bottom by 7.
* $7 \div 7 = 1$
* $42 \div 7 = 6$
* Result: $\frac{1}{6}$ (Orange)
39. $\frac{21}{35}$ (Right Leg Lower): Divide top and bottom by 7.
* $21 \div 7 = 3$
* $35 \div 7 = 5$
* Result: $\frac{3}{5}$ (Red)
40. $\frac{20}{35}$ (Bottom Right Corner): Divide top and bottom by 5.
* $20 \div 5 = 4$
* $35 \div 5 = 7$
* Result: $\frac{4}{7}$ (Violet)
Final Answer:
Here is the list of colors for each fraction to complete the worksheet:
* Red ($\frac{3}{5}$): $\frac{15}{25}, \frac{6}{10}, \frac{9}{15}, \frac{33}{55}, \frac{6}{10}, \frac{12}{20}, \frac{3}{5}, \frac{27}{45}, \frac{42}{70}, \frac{30}{50}, \frac{21}{35}$
* Green ($\frac{2}{5}$): $\frac{28}{70}, \frac{8}{20}, \frac{4}{10}, \frac{6}{15}, \frac{10}{25}, \frac{12}{30}, \frac{16}{40}$
* Brown ($\frac{4}{5}$): $\frac{20}{25}, \frac{16}{20}, \frac{8}{10}, \frac{28}{35}, \frac{12}{15}$
* Orange ($\frac{1}{6}$): $\frac{11}{66}, \frac{8}{48}, \frac{4}{24}, \frac{2}{12}, \frac{3}{18}, \frac{5}{30}, \frac{9}{54}, \frac{10}{60}, \frac{7}{42}$
* Violet ($\frac{4}{7}$): $\frac{8}{14}, \frac{12}{21}, \frac{16}{28}, \frac{32}{56}, \frac{20}{35}$
* Pink ($\frac{5}{6}$): $\frac{10}{12}, \frac{15}{18}, \frac{20}{24}$
Parent Tip: Review the logic above to help your child master the concept of coloring fractions worksheet free.