If-x-11-8-and-y-66-9-then-what-is-the-answer-of-x-y-x-y-

Question Number 105327 by Anindita last updated on 27/Jul/20

If x = \frac{11}{8} and y = \frac{66}{9} then what is

the answer of \frac{x + y}{x - y} ?

Commented by Aziztisffola last updated on 27/Jul/20

You can try to do it, we are here to

correct and to help you .

Commented by nimnim last updated on 28/Jul/20

\frac{x}{y} = \frac{11 / 8}{66 / 9} = \frac{3}{4}

b y c o m p o n e n d o & d i v i d e n d o

\frac{x + y}{x - y} = \frac{3 + 4}{3 - 4} = - 7

Commented by Rasheed.Sindhi last updated on 29/Jul/20

N i c e W a y!

Answered by 1549442205PVT last updated on 28/Jul/20

y = kx \Rightarrow \frac{x + y}{x - y} = \frac{(k + 1) x}{(1 - k) x} = \frac{k + 1}{1 - k} . Since

k = \frac{y}{x} = \frac{66}{9} : \frac{11}{8} = \frac{48}{9}, so

\frac{x + y}{x - y} = \frac{\frac{48}{9} + 1}{1 - \frac{48}{9}} = \frac{57}{- 39} = \frac{- 19}{13}

Commented by $@y@m last updated on 28/Jul/20

N o n e e d t o i n s e r t n e w v a r i a b l e k .

J u s t d i v i d i n g N^{r} & D^{r} b y x i s e n o u g h .

Answered by 1549442205PVT last updated on 28/Jul/20

999 \frac{494}{495} - 99 \frac{98}{99} = (999 + \frac{494}{495}) - (99 + \frac{98}{99})

= (999 - 99) + (\frac{494}{495} - \frac{98}{99}) = 900 + \frac{494 - 490}{495}

= 900 \frac{4}{495}