•|| Fractions ||•
1. What is the sum between 2/4 and 1/3?
Answer:
[tex] \frac{5}{6} [/tex]
Solution:
[tex] \frac{2}{4} + \frac{1}{3} \\ \\ \frac{1}{2} + \frac{1}{3} \\ \\ \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]
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2. Difference between 2/5 and 1/3.
Answer:
[tex] \frac{1}{15} [/tex]
Solution:
[tex] \frac{2}{5} - \frac{1}{3} \\ \\ \frac{6 - 5}{15} \\ \\ = \frac{1}{15} [/tex]
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3. Add 8 4/6 and 10 9/12
Answer:
[tex]19 \frac{5}{12} [/tex]
Solution:
[tex]8 \frac{4}{6} + 10 \frac{9}{12} \\ \\ (8 + 10) + ( \frac{4}{6} + \frac{9}{12} ) \\ \\ 18 + ( \frac{4}{6} + \frac{9}{12}) \\ \\ 18 + \frac{17}{12} \\ \\ 18 + 1 \frac{5}{12} \\ \\ 18 + 1 + \frac{5}{12} \\ \\ 19 + \frac{5}{12} \\ \\ = 19 \frac{5}{12} [/tex]
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4. Subtract 6 1/3 from 7 3/6
Answer:
[tex]1 \frac{1}{6} [/tex]
Solution:
[tex]7 \frac{3}{6 } - 6 \frac{1}{3} \\ \\ \frac{45}{6} - \frac{19}{3} \\ \\ = \frac{7}{6} \\ \\ = 1 \frac{1}{6} [/tex]
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5. Sum between 5 1/4 and 4 2/3
Answer:
[tex]9 \frac{11}{12} [/tex]
Solution:
[tex]5 \frac{1}{4} + 4 \frac{2}{3} \\ \\ \frac{21}{4} + \frac{14}{3} \\ \\ = \frac{119}{12} \\ \\ = 9 \frac{11}{12} [/tex]
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6. 2/3 × 6/8
Answer:
[tex] \frac{1}{2} [/tex]
Solution:
[tex] \frac{2}{3} \times \frac{6}{8} \\ \\ 2 \times \frac{2}{8} \\ \\ = \frac{2}{4} \\ \\ = \frac{1}{2} [/tex]
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7. 4/6 × 6/8
Answer:
[tex] \frac{1}{2} [/tex]
Solution:
[tex] \frac{4}{6} \times \frac{6}{8} \\ \\ 4 \times \frac{1}{8} \\ \\ = \frac{1}{2} [/tex]
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8. 2 2/5 × 3 3/4
Answer:
[tex]5 \frac{2}{5} [/tex]
Solution:
[tex]2 \frac{2}{5} \times 3 \frac{3}{4} \\ \\ \frac{12}{5} \times 3 \times \frac{3}{4} \\ \\ \frac{3}{5} \times 3 \times 3 \\ \\ = \frac{27}{5} \\ \\ = 5 \frac{2}{5} [/tex]
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9. 6 2/5 × 4 3/8
Answer:
[tex]9 \frac{3}{5} [/tex]
Solution:
[tex]6 \frac{2}{5} \times 4 \frac{3}{8} \\ \\ \frac{32}{5} \times 4 \times \frac{3}{8} \\ \\ \frac{4}{5} \times 4 \times 3 \\ \\ = \frac{48}{5} \\ \\ = 9 \frac{3}{5} [/tex]
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10. 4 1/5 × 6 3/7
Answer:
[tex]10 \frac{4}{5} [/tex]
Solution:
[tex]4 \frac{1}{5} \times 6 \frac{3}{7} \\ \\ \frac{21}{5} \times 6 \times \frac{3}{7} \\ \\ \frac{3}{5} \times 6 \times 3 \\ \ = \ \frac{54}{5} \\ \\ = 10 \frac{4}{5} [/tex]
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