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5 votes
Write $2.161616 as a fraction and as a mixed number.

2 Answers

3 votes
the answer is going to be 2 10101/62500
User CamilB
by
8.2k points
3 votes
2.161616....


2 + 0.161616....

When you see a recurring decimal, the number 9 should come to mind.

If we have: 0.1111.... the fraction is 1/9

If we have: 0.2222.... the fraction is 2/9

If we have: 0.3333.... the fraction is 3/9

But since it is two digits that are recurring: 0.161616... the fraction = 16 / 99

Therefore $2.161616 as fraction = $2 16/99

As mixed = (2*99 + 16)/99 = 214/99 = $214/99
User Ankit Maheshwari
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7.6k points