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Aleksandr [31]
4 years ago
12

Estimate the quotient using compatible numbers. 428 ÷ 6

Mathematics
1 answer:
o-na [289]4 years ago
5 0

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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