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Question

Convert 976.67 from decimal to fraction, and divide by 1,000. The result we get is .

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Solution

Let's first convert 976.67 from decimal to fraction.

We know 976.67×100=97,667. As division is just the opposite of multiplication, we can write 97,667÷100=976.67.

Hence,
976.67÷1,000
=(97,667÷100)÷1,000
(Replcaing 976.67 by 97,667÷100)

=97,667100÷1,000

=97,667100÷1,0001

=97,667100×11,000
(As division is just the opposite of multiplication)

=97,667×1100×1,000

=97,667100,000

=97,667÷100,000

=97,667.0÷105

=.976670
(Dividing 97,667.0 by 105 moves the decimal point 5 units to the left)

=0.97667

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