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To copy and complete (a) 1/4 = ? 9/8 = ? 1/2 = ? (b) half = ? quarters (c) whole = ? eighths (d) half = ? eighths (e) 1 quarter = ? eighths (f) 1 whole = ? halves

Mathematics

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Here are the solutions for the "CLASSWORK" section:

  1. For part (a), we need to express 1 whole in terms of quarters.

    One whole is equivalent to a fraction where the numerator and denominator are the same. Since we want quarters, the denominator is 4.

    1 whole=441 \text{ whole} = \frac{4}{4}

    So, 1 whole is 4 quarters.

  2. For part (b), we need to express 1 half in terms of quarters.

    We have 12\frac{1}{2}. To change the denominator to 4, we multiply both the numerator and denominator by 2.

    12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}

    So, 1 half is 2 quarters.

  3. For part (c), we need to express 1 whole in terms of eighths.

    Similar to Step 1, 1 whole with a denominator of 8 is 88\frac{8}{8}.

    1 whole=881 \text{ whole} = \frac{8}{8}

    So, 1 whole is 8 eighths.

  4. For part (d), we need to express 1 half in terms of eighths.

    We have 12\frac{1}{2}. To change the denominator to 8, we multiply both the numerator and denominator by 4.

    12=1×42×4=48\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}

    So, 1 half is 4 eighths.

  5. For part (e), we need to express 1 quarter in terms of eighths.

    We have 14\frac{1}{4}. To change the denominator to 8, we multiply both the numerator and denominator by 2.

    14=1×24×2=28\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}

    So, 1 quarter is 2 eighths.

  6. For part (f), we need to express 1 whole in terms of halves.

    Similar to Step 1, 1 whole with a denominator of 2 is 22\frac{2}{2}.

    1 whole=221 \text{ whole} = \frac{2}{2}

    So, 1 whole is 2 halves.

    The completed answers are:

    a) 1 whole = 4\boxed{4} quarters

    b) 1 half = 2\boxed{2} quarters

    c) 1 whole = 8\boxed{8} eighths

    d) 1 half = 4\boxed{4} eighths

    e) 1 quarter = 2\boxed{2} eighths

    f) 1 whole = 2\boxed{2} halves

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