Find the value of 1-1-1-3-4-2-1-3-1-2 - 3-3-4-3-1-1-1-2

The correct option is B 14977 Given exp. is 1/1+1/3 4/2+1/5/2 + 3/3 4/3+1/1/2 = 1/1+1/3 4/2+2/5 + #160; 3/3 4/3+2 = ...

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Standard VII

Mathematics

Comparison of Rational Numbers

Find the valu...

Question

Find the value of $\frac{1}{1 + \frac{1}{3 - \frac{4}{2 + \frac{1}{3 - \frac{1}{2}}}}}$ + $\frac{3}{3 - \frac{4}{3 + \frac{1}{1 - \frac{1}{2}}}}$

\frac{149}{55}

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\frac{149}{77}

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\frac{149}{99}

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None of the above

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Solution

The correct option is B $\frac{149}{77}$
Given exp. is $\frac{1}{1 + \frac{1}{3 - \frac{4}{2 + \frac{1}{\frac{5}{2}}}}}$ $+$ $\frac{3}{3 - \frac{4}{3 + \frac{1}{\frac{1}{2}}}}$ $=$ $\frac{1}{1 + \frac{1}{3 - \frac{4}{2 + \frac{2}{5}}}}$ + $\frac{3}{3 - \frac{4}{3 + 2}}$
= $\frac{1}{1 + \frac{1}{3 - \frac{4}{12 / 5}}} + \frac{3}{3 - \frac{4}{5}} = \frac{1}{1 + \frac{1}{3 - \frac{20}{12}}} + \frac{3}{\frac{11}{5}} = \frac{1}{1 + \frac{1}{16 / 12}} + \frac{15}{11}$
= $\frac{1}{1 + \frac{12}{16}} + \frac{15}{11} = \frac{4}{7} + \frac{15}{11} = \frac{44 + 105}{77} = \frac{149}{77}$

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Find the value of 11+13−42+13−12 + 33−43+11−12

The correct option is B 14977Given exp. is 11+13−42+152 + 33−43+112 = 11+13−42+25 + 33−43+2= 11+13−412/5+33−45=11+13−2012+3115=11+116/12+1511= 11+1216+1511=47+1511=44+10577=14977

Find the value of $\frac{1}{1 + \frac{1}{3 - \frac{4}{2 + \frac{1}{3 - \frac{1}{2}}}}}$ + $\frac{3}{3 - \frac{4}{3 + \frac{1}{1 - \frac{1}{2}}}}$