Why does [tex]3600 \div 6[/tex] have the same quotient as [tex]1800 \div 3[/tex]?

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).

Answered by a386 | 2024-06-10

The quotients for 3600 ÷ 6 and 1800 ÷ 3 are equal because both operations yield 600 . This equality happens because the numbers are related by a scaling factor. Dividing both the dividend and the divisor by the same number keeps the ratio the same, ensuring the same quotient.
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Answered by a386 | 2024-10-15