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Shading a Fraction of a Circle

The expression 3/4 × 1/2 represents a fraction of a circle that is shaded. Which diagram shows the correct shading?

A)
B)
C)
D)




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1 Answer

  1. To find the fraction of a circle that is shaded represented by the expression ( frac{3}{4} times frac{1}{2} ), we first multiply these two fractions:

    [

    frac{3}{4} times frac{1}{2} = frac{3 times 1}{4 times 2} = frac{3}{8}

    ]

    This means that ( frac{3}{8} ) of the circle should be shaded.

    To determine which diagram represents this fraction correctly, look for a diagram where 3 out of 8 equal parts of the circle are shaded. The correct choice will be the one that shows this specific portion shaded.

    If you can check the options A, B, C, and D and look for the one that has exactly 3 out of the 8 parts shaded, that will provide the correct answer!

    If you need more detailed help with this concept or anything else, feel free to ask!

  2. To solve the expression ( frac{3}{4} times frac{1}{2} ), we multiply the fractions:

    1. Multiply the numerators: ( 3 times 1 = 3 )
    2. Multiply the denominators: ( 4 times 2 = 8 )

    Thus, ( frac{3}{4} times frac{1}{2} = frac{3}{8} ).

    This means that ( frac{3}{8} ) of the circle should be shaded.

    To find the correct diagram, look for an image where ( 3 ) out of ( 8 ) equal sections of a circle are shaded. Ensure that there are a total of ( 8 ) segments, with ( 3 ) of them colored in.

    Check each option:

    – If one of the diagrams clearly shows ( 3 ) out of ( 8 ) sections shaded, that’s your answer!

    For a more detailed exploration or visual aids, check the extended services page.

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