Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve each of these fractions by simplifying them to their lowest terms. To simplify a fraction, we divide both the numerator and denominator by their greatest common divisor (GCD).
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1. $\frac{3}{9}$
GCD of 3 and 9 is 3 → $\frac{3 \div 3}{9 \div 3} = \frac{1}{3}$
2. $\frac{8}{12}$
GCD of 8 and 12 is 4 → $\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$
3. $\frac{4}{6}$
GCD of 4 and 6 is 2 → $\frac{4 \div 2}{6 \div 2} = \frac{2}{3}$
4. $\frac{4}{8}$
GCD of 4 and 8 is 4 → $\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$
5. $\frac{6}{9}$
GCD of 6 and 9 is 3 → $\frac{6 \div 3}{9 \div 3} = \frac{2}{3}$
6. $\frac{7}{14}$
GCD of 7 and 14 is 7 → $\frac{7 \div 7}{14 \div 7} = \frac{1}{2}$
7. $\frac{9}{12}$
GCD of 9 and 12 is 3 → $\frac{9 \div 3}{12 \div 3} = \frac{3}{4}$
8. $\frac{2}{10}$
GCD of 2 and 10 is 2 → $\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$
9. $\frac{1}{9}$
Already in lowest terms → $\frac{1}{9}$
10. $\frac{2}{8}$
GCD of 2 and 8 is 2 → $\frac{2 \div 2}{8 \div 2} = \frac{1}{4}$
11. $\frac{6}{8}$
GCD of 6 and 8 is 2 → $\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$
12. $\frac{6}{12}$
GCD of 6 and 12 is 6 → $\frac{6 \div 6}{12 \div 6} = \frac{1}{2}$
13. $\frac{4}{12}$
GCD of 4 and 12 is 4 → $\frac{4 \div 4}{12 \div 4} = \frac{1}{3}$
14. $\frac{30}{40}$
GCD of 30 and 40 is 10 → $\frac{30 \div 10}{40 \div 10} = \frac{3}{4}$
15. $\frac{8}{10}$
GCD of 8 and 10 is 2 → $\frac{8 \div 2}{10 \div 2} = \frac{4}{5}$
16. $\frac{9}{15}$
GCD of 9 and 15 is 3 → $\frac{9 \div 3}{15 \div 3} = \frac{3}{5}$
17. $\frac{8}{20}$
GCD of 8 and 20 is 4 → $\frac{8 \div 4}{20 \div 4} = \frac{2}{5}$
18. $\frac{10}{15}$
GCD of 10 and 15 is 5 → $\frac{10 \div 5}{15 \div 5} = \frac{2}{3}$
19. $\frac{9}{18}$
GCD of 9 and 18 is 9 → $\frac{9 \div 9}{18 \div 9} = \frac{1}{2}$
20. $\frac{8}{14}$
GCD of 8 and 14 is 2 → $\frac{8 \div 2}{14 \div 2} = \frac{4}{7}$
21. $\frac{3}{15}$
GCD of 3 and 15 is 3 → $\frac{3 \div 3}{15 \div 3} = \frac{1}{5}$
22. $\frac{20}{24}$
GCD of 20 and 24 is 4 → $\frac{20 \div 4}{24 \div 4} = \frac{5}{6}$
23. $\frac{4}{16}$
GCD of 4 and 16 is 4 → $\frac{4 \div 4}{16 \div 4} = \frac{1}{4}$
24. $\frac{2}{24}$
GCD of 2 and 24 is 2 → $\frac{2 \div 2}{24 \div 2} = \frac{1}{12}$
25. $\frac{12}{18}$
GCD of 12 and 18 is 6 → $\frac{12 \div 6}{18 \div 6} = \frac{2}{3}$
26. $\frac{10}{12}$
GCD of 10 and 12 is 2 → $\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$
27. $\frac{25}{30}$
GCD of 25 and 30 is 5 → $\frac{25 \div 5}{30 \div 5} = \frac{5}{6}$
28. $\frac{6}{21}$
GCD of 6 and 21 is 3 → $\frac{6 \div 3}{21 \div 3} = \frac{2}{7}$
29. $\frac{2}{20}$
GCD of 2 and 20 is 2 → $\frac{2 \div 2}{20 \div 2} = \frac{1}{10}$
30. $\frac{4}{24}$
GCD of 4 and 24 is 4 → $\frac{4 \div 4}{24 \div 4} = \frac{1}{6}$
31. $\frac{2}{30}$
GCD of 2 and 30 is 2 → $\frac{2 \div 2}{30 \div 2} = \frac{1}{15}$
32. $\frac{10}{20}$
GCD of 10 and 20 is 10 → $\frac{10 \div 10}{20 \div 10} = \frac{1}{2}$
33. $\frac{4}{28}$
GCD of 4 and 28 is 4 → $\frac{4 \div 4}{28 \div 4} = \frac{1}{7}$
34. $\frac{7}{9}$
GCD of 7 and 9 is 1 → already in lowest terms → $\frac{7}{9}$
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$$
\begin{align*}
\frac{3}{9} &= \frac{1}{3} \\
\frac{8}{12} &= \frac{2}{3} \\
\frac{4}{6} &= \frac{2}{3} \\
\frac{4}{8} &= \frac{1}{2} \\
\frac{6}{9} &= \frac{2}{3} \\
\frac{7}{14} &= \frac{1}{2} \\
\frac{9}{12} &= \frac{3}{4} \\
\frac{2}{10} &= \frac{1}{5} \\
\frac{1}{9} &= \frac{1}{9} \\
\frac{2}{8} &= \frac{1}{4} \\
\frac{6}{8} &= \frac{3}{4} \\
\frac{6}{12} &= \frac{1}{2} \\
\frac{4}{12} &= \frac{1}{3} \\
\frac{30}{40} &= \frac{3}{4} \\
\frac{8}{10} &= \frac{4}{5} \\
\frac{9}{15} &= \frac{3}{5} \\
\frac{8}{20} &= \frac{2}{5} \\
\frac{10}{15} &= \frac{2}{3} \\
\frac{9}{18} &= \frac{1}{2} \\
\frac{8}{14} &= \frac{4}{7} \\
\frac{3}{15} &= \frac{1}{5} \\
\frac{20}{24} &= \frac{5}{6} \\
\frac{4}{16} &= \frac{1}{4} \\
\frac{2}{24} &= \frac{1}{12} \\
\frac{12}{18} &= \frac{2}{3} \\
\frac{10}{12} &= \frac{5}{6} \\
\frac{25}{30} &= \frac{5}{6} \\
\frac{6}{21} &= \frac{2}{7} \\
\frac{2}{20} &= \frac{1}{10} \\
\frac{4}{24} &= \frac{1}{6} \\
\frac{2}{30} &= \frac{1}{15} \\
\frac{10}{20} &= \frac{1}{2} \\
\frac{4}{28} &= \frac{1}{7} \\
\frac{7}{9} &= \frac{7}{9} \\
\end{align*}
$$
✔ All fractions are now simplified to lowest terms.
Let me know if you'd like this formatted as a printable answer sheet!
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Step-by-step solutions:
1. $\frac{3}{9}$
GCD of 3 and 9 is 3 → $\frac{3 \div 3}{9 \div 3} = \frac{1}{3}$
2. $\frac{8}{12}$
GCD of 8 and 12 is 4 → $\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$
3. $\frac{4}{6}$
GCD of 4 and 6 is 2 → $\frac{4 \div 2}{6 \div 2} = \frac{2}{3}$
4. $\frac{4}{8}$
GCD of 4 and 8 is 4 → $\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$
5. $\frac{6}{9}$
GCD of 6 and 9 is 3 → $\frac{6 \div 3}{9 \div 3} = \frac{2}{3}$
6. $\frac{7}{14}$
GCD of 7 and 14 is 7 → $\frac{7 \div 7}{14 \div 7} = \frac{1}{2}$
7. $\frac{9}{12}$
GCD of 9 and 12 is 3 → $\frac{9 \div 3}{12 \div 3} = \frac{3}{4}$
8. $\frac{2}{10}$
GCD of 2 and 10 is 2 → $\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$
9. $\frac{1}{9}$
Already in lowest terms → $\frac{1}{9}$
10. $\frac{2}{8}$
GCD of 2 and 8 is 2 → $\frac{2 \div 2}{8 \div 2} = \frac{1}{4}$
11. $\frac{6}{8}$
GCD of 6 and 8 is 2 → $\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$
12. $\frac{6}{12}$
GCD of 6 and 12 is 6 → $\frac{6 \div 6}{12 \div 6} = \frac{1}{2}$
13. $\frac{4}{12}$
GCD of 4 and 12 is 4 → $\frac{4 \div 4}{12 \div 4} = \frac{1}{3}$
14. $\frac{30}{40}$
GCD of 30 and 40 is 10 → $\frac{30 \div 10}{40 \div 10} = \frac{3}{4}$
15. $\frac{8}{10}$
GCD of 8 and 10 is 2 → $\frac{8 \div 2}{10 \div 2} = \frac{4}{5}$
16. $\frac{9}{15}$
GCD of 9 and 15 is 3 → $\frac{9 \div 3}{15 \div 3} = \frac{3}{5}$
17. $\frac{8}{20}$
GCD of 8 and 20 is 4 → $\frac{8 \div 4}{20 \div 4} = \frac{2}{5}$
18. $\frac{10}{15}$
GCD of 10 and 15 is 5 → $\frac{10 \div 5}{15 \div 5} = \frac{2}{3}$
19. $\frac{9}{18}$
GCD of 9 and 18 is 9 → $\frac{9 \div 9}{18 \div 9} = \frac{1}{2}$
20. $\frac{8}{14}$
GCD of 8 and 14 is 2 → $\frac{8 \div 2}{14 \div 2} = \frac{4}{7}$
21. $\frac{3}{15}$
GCD of 3 and 15 is 3 → $\frac{3 \div 3}{15 \div 3} = \frac{1}{5}$
22. $\frac{20}{24}$
GCD of 20 and 24 is 4 → $\frac{20 \div 4}{24 \div 4} = \frac{5}{6}$
23. $\frac{4}{16}$
GCD of 4 and 16 is 4 → $\frac{4 \div 4}{16 \div 4} = \frac{1}{4}$
24. $\frac{2}{24}$
GCD of 2 and 24 is 2 → $\frac{2 \div 2}{24 \div 2} = \frac{1}{12}$
25. $\frac{12}{18}$
GCD of 12 and 18 is 6 → $\frac{12 \div 6}{18 \div 6} = \frac{2}{3}$
26. $\frac{10}{12}$
GCD of 10 and 12 is 2 → $\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$
27. $\frac{25}{30}$
GCD of 25 and 30 is 5 → $\frac{25 \div 5}{30 \div 5} = \frac{5}{6}$
28. $\frac{6}{21}$
GCD of 6 and 21 is 3 → $\frac{6 \div 3}{21 \div 3} = \frac{2}{7}$
29. $\frac{2}{20}$
GCD of 2 and 20 is 2 → $\frac{2 \div 2}{20 \div 2} = \frac{1}{10}$
30. $\frac{4}{24}$
GCD of 4 and 24 is 4 → $\frac{4 \div 4}{24 \div 4} = \frac{1}{6}$
31. $\frac{2}{30}$
GCD of 2 and 30 is 2 → $\frac{2 \div 2}{30 \div 2} = \frac{1}{15}$
32. $\frac{10}{20}$
GCD of 10 and 20 is 10 → $\frac{10 \div 10}{20 \div 10} = \frac{1}{2}$
33. $\frac{4}{28}$
GCD of 4 and 28 is 4 → $\frac{4 \div 4}{28 \div 4} = \frac{1}{7}$
34. $\frac{7}{9}$
GCD of 7 and 9 is 1 → already in lowest terms → $\frac{7}{9}$
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Final Answer Key:
$$
\begin{align*}
\frac{3}{9} &= \frac{1}{3} \\
\frac{8}{12} &= \frac{2}{3} \\
\frac{4}{6} &= \frac{2}{3} \\
\frac{4}{8} &= \frac{1}{2} \\
\frac{6}{9} &= \frac{2}{3} \\
\frac{7}{14} &= \frac{1}{2} \\
\frac{9}{12} &= \frac{3}{4} \\
\frac{2}{10} &= \frac{1}{5} \\
\frac{1}{9} &= \frac{1}{9} \\
\frac{2}{8} &= \frac{1}{4} \\
\frac{6}{8} &= \frac{3}{4} \\
\frac{6}{12} &= \frac{1}{2} \\
\frac{4}{12} &= \frac{1}{3} \\
\frac{30}{40} &= \frac{3}{4} \\
\frac{8}{10} &= \frac{4}{5} \\
\frac{9}{15} &= \frac{3}{5} \\
\frac{8}{20} &= \frac{2}{5} \\
\frac{10}{15} &= \frac{2}{3} \\
\frac{9}{18} &= \frac{1}{2} \\
\frac{8}{14} &= \frac{4}{7} \\
\frac{3}{15} &= \frac{1}{5} \\
\frac{20}{24} &= \frac{5}{6} \\
\frac{4}{16} &= \frac{1}{4} \\
\frac{2}{24} &= \frac{1}{12} \\
\frac{12}{18} &= \frac{2}{3} \\
\frac{10}{12} &= \frac{5}{6} \\
\frac{25}{30} &= \frac{5}{6} \\
\frac{6}{21} &= \frac{2}{7} \\
\frac{2}{20} &= \frac{1}{10} \\
\frac{4}{24} &= \frac{1}{6} \\
\frac{2}{30} &= \frac{1}{15} \\
\frac{10}{20} &= \frac{1}{2} \\
\frac{4}{28} &= \frac{1}{7} \\
\frac{7}{9} &= \frac{7}{9} \\
\end{align*}
$$
✔ All fractions are now simplified to lowest terms.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of 3rd grade tutoring worksheet.