Find the value of 1/(3+1/(3+1/(3–1/3)))
3/10
10/3
27/89
89/27
Explanation:
1/(3+1/(3+1/(3–1/3)))
= 1/(3 + 1/(3 + 1/(8/3)))
= 1/(3 + 1/(3 + 3/8))
= 1/(3 + 8/27)
= 1/(89/27)
= 27/89
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Find the value of 1/(3+1/(3+1/(3–1/3)))
1/(3+1/(3+1/(3–1/3)))
= 1/(3 + 1/(3 + 1/(8/3)))
= 1/(3 + 1/(3 + 3/8))
= 1/(3 + 8/27)
= 1/(89/27)
= 27/89