Why does 3600÷6 have the same quotient as 1800÷3?

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06-10-2014
Mathematics

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Why does 3600÷6 have the same quotient as 1800÷3?

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A386idn A386idn · Answer 1 · 2014-10-06T21:27:40-04:00

A386idn A386idn

06-10-2014

Think of it this way:

3600 divided by 2 is 1800
and 6 divided by 2 is 3.

Since both the dividend and the divisor were divided by 2, the quotient is the same for both because the ratios were the same.

3600 = 1800
6 3
cross multiply
10,800=10,800

The quotients are the same (600).

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