Question

solve the question please

$\frac{1}{2} + \frac{2}{4} + \frac{4}{8 } + \frac{8}{16} + \frac{9}{18}$
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Answer 1

Answer:

$\frac{5}{2} = 2.5$

Step-by-step explanation:

$\frac{1}{2} + \frac{2}{4} + \frac{4}{8 } + \frac{8}{16} + \frac{9}{18} \\ = \frac{1}{2} + \frac{1}{2} + \frac{1}{2 } + \frac{1}{2} + \frac{1}{2} \\ = \frac{1 + 1 + 1 + 1 + 1}{2} \\ = \frac{5}{2} \\ = 2.5$

Answer 2

Answer:

$\dfrac{1}{2}+\dfrac{2}{4}+\dfrac{4}{8}+\dfrac{8}{16}+\dfrac{9}{18}=\dfrac{5}{2}\quad \left(\mathrm{Decimal:\quad }\:2.5\right)$

Step-by-step explanation:

$\dfrac{1}{2}+\dfrac{2}{4}+\dfrac{4}{8}+\dfrac{8}{16}+\dfrac{9}{18}$

$\black{\dfrac{2}{4}}$

$\gray{\mathrm{Cancel\:the\:common\:factor:}\:2}$

$=\dfrac{1}{2}$

$\black{\dfrac{4}{8}}$

$\gray{\mathrm{Cancel\:the\:common\:factor:}\:4}$

$=\dfrac{1}{2}$

$\black{\dfrac{8}{16}}$

$\gray{\mathrm{Cancel\:the\:common\:factor:}\:8}$

$=\dfrac{1}{2}$

$\black{\dfrac{9}{18}}$

$\gray{\mathrm{Cancel\:the\:common\:factor:}\:9}$

$=\dfrac{1}{2}$

$=\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}$

$\gray{\mathrm{Apply\:rule}\:\dfrac{a}{c}\pm \dfrac{b}{c}=\dfrac{a\pm \:b}{c}}$

$=\dfrac{1+1+1+1+1}{2}$

$\gray{\mathrm{Add\:the\:numbers:}\:1+1+1+1+1=5}$

$=\dfrac{5}{2}$