-3 1 - 4 - 1 1 - 4 - 1 - 2 2 1 - 2 - 1 - 4 - 1 - 6 -

[314÷ (114 12(212 14 16))] =314÷ [54 12(52 14 16)] =134÷ [54 54+18+112] =134÷ [18+112] =134÷524 =134×245 =785 ...

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Addition of Fractions

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Question

$[3 \frac{1}{4} \div {1 \frac{1}{4} - \frac{1}{2} (2 \frac{1}{2} - \frac{1}{4} - \frac{1}{6})}]$

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Solution

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Simplify :

$[3 \frac{1}{4} \div {1 \frac{1}{4} - \frac{1}{2} (2 \frac{1}{2} - \frac{1}{4} - \frac{1}{6})}] \div (\frac{1}{2} o f 4 \frac{1}{3})$

\frac{\frac{1}{2} + 3 \frac{1}{4} + 1 \frac{1}{6}}{2 \frac{1}{2} + 1 \frac{1}{6} + 6 \frac{1}{3}} + \frac{1}{120}

Find the value of:

(1)

(2)

(3)

(4)

(5)

1 + (\frac{1}{2} + \frac{1}{3}) \frac{1}{4} + (\frac{1}{4} + \frac{1}{5}) \frac{1}{4^{2}} + (\frac{1}{6} + \frac{1}{7}) \frac{1}{4^{3}} + . . . \infty = {log}_{e} \sqrt{b}

\frac{b}{4}

3 \frac{1}{12} - [1 \frac{3}{4} + {2 \frac{1}{2} - (1 \frac{1}{2} - \frac{1}{3})}]

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