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Ordering Integers

Evaluate 1÷...

Question

Evaluate $1 \div {1 + 1 \div (1 + \frac{1}{2})}$ .

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Solution

$1 \div {1 + 1 \div (1 + \frac{1}{2})} \Rightarrow 1 \div {1 + 1 \div (\frac{3}{2})} \Rightarrow 1 \div {1 + 1 \times \frac{2}{3}} \Rightarrow 1 \div {1 + \frac{2}{3}} \Rightarrow 1 \div {\frac{3 + 2}{3}} \Rightarrow 1 \div {\frac{5}{3}} 1 \times \frac{3}{5} = \frac{3}{5}$

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