which two choices are equivalent to the fraction below 4/6 a. 2/4 b. 8/12 c. 2/3 d. 3/4

Question

which two choices are equivalent to the fraction below 4/6
a. 2/4
b. 8/12
c. 2/3
d. 3/4

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Kinsley 3 hours 2021-10-14T10:16:36+00:00 1 Answer 0

Answers ( )

    0
    2021-10-14T10:17:46+00:00

    The choices b and c are equivalent to \frac{4}{6}.

    Step-by-step explanation:

    Step 1:

    First, we need to bring the fraction \frac{4}{6} to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.

    The greatest factor for 4 and 6 is 2. So we divide it by 2.

    So \frac{4}{2}=2,  \frac{6}{2}=3, \frac{4}{6}= \frac{2}{3}.

    Step 2:

    Similarly, we need to do the same for all the given four options.

    a. \frac{2}{4}, the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.

    So \frac{2}{2}=1,  \frac{4}{2}=2, \frac{2}{4}= \frac{1}{2}.

    b. \frac{8}{12}, the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.

    So \frac{8}{4}=2,  \frac{12}{4}=3, \frac{8}{12}= \frac{2}{3}.

    For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.

    Step 3:

    So options b and c are equal to the simplification of \frac{4}{6} i.e. \frac{2}{3}.

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