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Subtracting Fractions. Solve the following: 1. 2/3 - 1/3 = ; 2. 3/4 - 1/4 = ; 3. 5/8 - 3/8 = ; 4. 7/10 - 3/10 = ; 5. 1/2 - 1/4 = ; 6. 7/8 - 1/2 = ; 7. 5/6 - 1/3 = ; 8. 3/4 - 1/8 = ; 9. 2/5 - 1/10 = ; 10. 7/12 - 1/4 = .

Mathematics

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Here are the solutions to the problems on the worksheet.

Adding Fractions (Left Column)

: 12+12\frac{1}{2} + \frac{1}{2}

  1. The denominators are the same, so add the numerators.

    1+12\frac{1+1}{2}
  2. Simplify the fraction.

    22=1\frac{2}{2} = 1

    The final answer is 1\boxed{1}.

    : 14+14\frac{1}{4} + \frac{1}{4}

  3. The denominators are the same, so add the numerators.

    1+14\frac{1+1}{4}
  4. Simplify the fraction.

    24=12\frac{2}{4} = \frac{1}{2}

    The final answer is 12\boxed{\frac{1}{2}}.

    : 13+13\frac{1}{3} + \frac{1}{3}

  5. The denominators are the same, so add the numerators.

    1+13\frac{1+1}{3}
  6. Simplify the fraction.

    23\frac{2}{3}

    The final answer is 23\boxed{\frac{2}{3}}.

    : 14+14\frac{1}{4} + \frac{1}{4}

  7. The denominators are the same, so add the numerators.

    1+14\frac{1+1}{4}
  8. Simplify the fraction.

    24=12\frac{2}{4} = \frac{1}{2}

    The final answer is 12\boxed{\frac{1}{2}}.

    : 14+14\frac{1}{4} + \frac{1}{4}

  9. The denominators are the same, so add the numerators.

    1+14\frac{1+1}{4}
  10. Simplify the fraction.

    24=12\frac{2}{4} = \frac{1}{2}

    The final answer is 12\boxed{\frac{1}{2}}.

    Subtracting Fractions (Middle Column)

    : 12−12\frac{1}{2} - \frac{1}{2}

  11. The denominators are the same, so subtract the numerators.

    1−12\frac{1-1}{2}
  12. Simplify the fraction.

    02=0\frac{0}{2} = 0

    The final answer is 0\boxed{0}.

    : 14−14\frac{1}{4} - \frac{1}{4}

  13. The denominators are the same, so subtract the numerators.

    1−14\frac{1-1}{4}
  14. Simplify the fraction.

    04=0\frac{0}{4} = 0

    The final answer is 0\boxed{0}.

    : 13−13\frac{1}{3} - \frac{1}{3}

  15. The denominators are the same, so subtract the numerators.

    1−13\frac{1-1}{3}
  16. Simplify the fraction.

    03=0\frac{0}{3} = 0

    The final answer is 0\boxed{0}.

    : 14−14\frac{1}{4} - \frac{1}{4}

  17. The denominators are the same, so subtract the numerators.

    1−14\frac{1-1}{4}
  18. Simplify the fraction.

    04=0\frac{0}{4} = 0

    The final answer is 0\boxed{0}.

    : 14−14\frac{1}{4} - \frac{1}{4}

  19. The denominators are the same, so subtract the numerators.

    1−14\frac{1-1}{4}
  20. Simplify the fraction.

    04=0\frac{0}{4} = 0

    The final answer is 0\boxed{0}.

    Subtracting Fractions (Right Column)

    : 12−14\frac{1}{2} - \frac{1}{4}

  21. Find a common denominator, which is 4.

    Convert 12\frac{1}{2} to an equivalent fraction with a denominator of 4.

    12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}
  22. Subtract the fractions.

    24−14=2−14\frac{2}{4} - \frac{1}{4} = \frac{2-1}{4}
  23. Simplify the result.

    14\frac{1}{4}

    The final answer is 14\boxed{\frac{1}{4}}.

    : 13−16\frac{1}{3} - \frac{1}{6}

  24. Find a common denominator, which is 6.

    Convert 13\frac{1}{3} to an equivalent fraction with a denominator of 6.

    13=1×23×2=26\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
  25. Subtract the fractions.

    26−16=2−16\frac{2}{6} - \frac{1}{6} = \frac{2-1}{6}
  26. Simplify the result.

    16\frac{1}{6}

    The final answer is 16\boxed{\frac{1}{6}}.

    : 12−18\frac{1}{2} - \frac{1}{8}

  27. Find a common denominator, which is 8.

    Convert 12\frac{1}{2} to an equivalent fraction with a denominator of 8.

    12=1×42×4=48\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
  28. Subtract the fractions.

    48−18=4−18\frac{4}{8} - \frac{1}{8} = \frac{4-1}{8}
  29. Simplify the result.

    38\frac{3}{8}

    The final answer is 38\boxed{\frac{3}{8}}.

    : 12−14\frac{1}{2} - \frac{1}{4}

  30. Find a common denominator, which is 4.

    Convert 12\frac{1}{2} to an equivalent fraction with a denominator of 4.

    12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}
  31. Subtract the fractions.

    24−14=2−14\frac{2}{4} - \frac{1}{4} = \frac{2-1}{4}
  32. Simplify the result.

    14\frac{1}{4}

    The final answer is 14\boxed{\frac{1}{4}}.

    : 12−18\frac{1}{2} - \frac{1}{8}

  33. Find a common denominator, which is 8.

    Convert 12\frac{1}{2} to an equivalent fraction with a denominator of 8.

    12=1×42×4=48\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
  34. Subtract the fractions.

    48−18=4−18\frac{4}{8} - \frac{1}{8} = \frac{4-1}{8}
  35. Simplify the result.

    38\frac{3}{8}

    The final answer is 38\boxed{\frac{3}{8}}.

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