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Copy and complete (a) 1/4 = ?/8 (b) 3/4 = ?/8

Mathematics

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Here are the solutions for the "2.2 copy and complete" section from the image:

  1. For part (a), we need to find the equivalent fraction for 14\frac{1}{4} with a denominator of 8.

    To change the denominator from 4 to 8, we multiply by 2 (4×2=84 \times 2 = 8). We must do the same to the numerator.

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

    So, the missing numerator is 2.

  2. For part (b), we need to find the equivalent fraction for 34\frac{3}{4} with a denominator of 8.

    Again, to change the denominator from 4 to 8, we multiply by 2 (4×2=84 \times 2 = 8). We must do the same to the numerator.

    34=3×24×2=68\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}

    So, the missing numerator is 6.

    The completed fractions are:

    a) 14=28\frac{1}{4} = \boxed{\frac{2}{8}}

    b) 34=68\frac{3}{4} = \boxed{\frac{6}{8}}

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