Estimate the quotient using compatible numbers. 428 ÷ 6

Question

Estimate the quotient using compatible numbers.

428 ÷ 6

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    2021-09-06T04:56:00+00:00

    Answer: The quotient is 71.

    Explanation:

    We have to find the quotient when 428 is divided by 6.

    We can write 428 as the sum of 420 and 8 because 420 is compatible number because 42 can easily divided by 6.

    \frac{428}{6} =\frac{420+8}{6}

    \frac{428}{6} =\frac{420}{6}+\frac{8}{6}

    \frac{428}{6} =70+\frac{8}{6}

    Now 8 can be written as the sum of 6 and 2.

    \frac{428}{6} =70+\frac{6+2}{6}

    \frac{428}{6} =70+\frac{6}{6}+\frac{2}{6}

    \frac{428}{6} =70+1+\frac{1}{3}

    \frac{428}{6} =71+\frac{1}{3}

    Therefore, the quotient is 71 and the remainder is \frac{1}{3}.

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