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The grid provided is a 10 x 10 grid, which contains 10 x 10 = 100 squares in total. To show each fraction, we need to determine how many of these 100 squares should be shaded. This is

Mathematics

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The grid provided is a 10×1010 \times 10 grid, which contains 10×10=10010 \times 10 = 100 squares in total. To show each fraction, we need to determine how many of these 100 squares should be shaded. This is done by converting each fraction to an equivalent fraction with a denominator of 100.

  • a) 12\frac{1}{2} To find the equivalent fraction with a denominator of 100:

    12=1×502×50=50100\frac{1}{2} = \frac{1 \times 50}{2 \times 50} = \frac{50}{100}

    Shade 50 squares.

  • b) 14\frac{1}{4} To find the equivalent fraction with a denominator of 100:

    14=1×254×25=25100\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}

    Shade 25 squares.

  • c) 15\frac{1}{5} To find the equivalent fraction with a denominator of 100:

    15=1×205×20=20100\frac{1}{5} = \frac{1 \times 20}{5 \times 20} = \frac{20}{100}

    Shade 20 squares.

  • d) 110\frac{1}{10} To find the equivalent fraction with a denominator of 100:

    110=1×1010×10=10100\frac{1}{10} = \frac{1 \times 10}{10 \times 10} = \frac{10}{100}

    Shade 10 squares.

  • e) 120\frac{1}{20} To find the equivalent fraction with a denominator of 100:

    120=1×520×5=5100\frac{1}{20} = \frac{1 \times 5}{20 \times 5} = \frac{5}{100}

    Shade 5 squares.

  • f) 125\frac{1}{25} To find the equivalent fraction with a denominator of 100:

    125=1×425×4=4100\frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100}

    Shade 4 squares.

  • g) 150\frac{1}{50} To find the equivalent fraction with a denominator of 100:

    150=1×250×2=2100\frac{1}{50} = \frac{1 \times 2}{50 \times 2} = \frac{2}{100}

    Shade 2 squares.

  • h) 1100\frac{1}{100} This fraction already has a denominator of 100. Shade 1 square.

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