Bissoy.com
Doctors Medicines MCQs Q&A

Simplify : $$1 + {1 \over {1 + {2 \over {2 + {3 \over {1 + {4 \over 5}}}}}}}$$

Simplify : $$1 + {1 \over {1 + {2 \over {2 + {3 \over {1 + {4 \over 5}}}}}}}$$ Correct Answer $$1\frac{{11}}{{17}}$$

$$\eqalign{ & 1 + \frac{1}{{1 + \frac{2}{{2 + \frac{3}{{1 + \frac{4}{5}}}}}}} \cr & = 1 + \frac{1}{{1 + \frac{2}{{2 + \frac{3}{{\frac{9}{5}}}}}}} \cr & = 1 + \frac{1}{{1 + \frac{2}{{2 + \frac{5}{3}}}}} \cr & = 1 + \frac{1}{{1 + \frac{2}{{\frac{{11}}{3}}}}} \cr & = 1 + \frac{1}{{1 + \frac{6}{{11}}}} \cr & = 1 + \frac{1}{{\frac{{17}}{{11}}}} \cr & = 1 + \frac{{11}}{{17}} \cr & = 1\frac{{11}}{{17}} \cr} $$

Related Questions

Simplify : $${{{5 \over 3} \times {7 \over {51}}{\text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{\text{ of }}{{28} \over 5} - {2 \over 3}}}$$
Simplify : $$1 + {2 \over {1 + {3 \over {1 + {4 \over 5}}}}}$$
A charged particle q moving with a velocity \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over v} \) in a magnetic field \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over B} \) experiences a force given by \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over F} = q\left( {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over v} \times \mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over B} } \right).\) What is the work done by the force during a displacement \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over{\Delta r}}\) of the charged particle?
The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S1 : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S2 : The system is stable but not causal for
$$ROC:\left| z \right| S3 : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?
Simplify(0.5)2+20.09
Simplify (2x-1)2 ÷x-5
If x and y are non-negative simplify (81x17y18)14
Which of the following software types is used to simplify using systems software?
One way to simplify the sum-of-products equation is to use boolean algebra. Another way is the _____ map.
Which of the following has launched a new braille keyboard named TalkBack to simplify smartphone typing for those who are suffering from visual impairment?