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A circle is divided into 4 equal parts. What fraction of the circle did Agana shade? What fraction did Akorfa shade? What fraction did Edem shade? If Agana and Edem both used yellow colour to shade th

Mathematics

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The circle is divided into 4 equal parts.

  1. What fraction of the circle did Agana shade?

    Agana's portion covers 1 out of the 4 equal parts.

    Fraction for Agana=14\text{Fraction for Agana} = \frac{1}{4}

    The fraction of the circle Agana shaded is 14\boxed{\frac{1}{4}}.

  2. What fraction of the circle did Akorfa shade?

    Akorfa's portion covers 2 out of the 4 equal parts.

    Fraction for Akorfa=24\text{Fraction for Akorfa} = \frac{2}{4}

    This fraction can be simplified:

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

    The fraction of the circle Akorfa shaded is 12\boxed{\frac{1}{2}}.

  3. What fraction of the circle did Edem shade?

    Edem's portion covers 1 out of the 4 equal parts.

    Fraction for Edem=14\text{Fraction for Edem} = \frac{1}{4}

    The fraction of the circle Edem shaded is 14\boxed{\frac{1}{4}}.

  4. If Agana and Edem both used yellow colour to shade their portions, what fraction is shaded?

    To find the total fraction shaded by Agana and Edem, we add their individual fractions.

    Total shaded fraction=Fraction for Agana+Fraction for Edem\text{Total shaded fraction} = \text{Fraction for Agana} + \text{Fraction for Edem} Total shaded fraction=14+14\text{Total shaded fraction} = \frac{1}{4} + \frac{1}{4} Total shaded fraction=1+14\text{Total shaded fraction} = \frac{1+1}{4} Total shaded fraction=24\text{Total shaded fraction} = \frac{2}{4}

    This fraction can be simplified:

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

    The total fraction shaded by Agana and Edem is 12\boxed{\frac{1}{2}}.

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