Question

express the following in the form of p/q where p ans q are integers and q =0

2. 0.47​

Answer 1

Answer:

2047/1000

Step-by-step explanation:

let x=2.047......(1)

multiplying both sides by 1000

1000x=2047...........(2)

subtracting eq.(1) by eq. (2)

1000x=2047.000

-        x=       2.047

=999x=2044.953

therefore, 999x=2044.953

simplifying,

999x=2044.953

x=2044.953/999

x=2.047/1 or 2047/1000

Answer 2

$\huge\star\:\:{\orange{\underline{\purple{\mathcal{Question}}}}}$

1. Express the 0.47 in the form of $\dfrac{p}{q}$ where p ans q are integers and q=Ø

$\huge\star\:\:{\orange{\underline{\pink{\mathcal{Answer}}}}}$

$⟹\:Let\:x\:=\:0.47\:=\:0.4777.......\:(1)$

$\:\sf\underline\red{Multiply\:(1)\:with\:(10)}\:$

$⟹\:10x\:=\:10\:×\:4.7777........(2)$

$\:\sf\underline\red{Subtract\:(1)\:From\:(2)}\:$

$⟹\:10x\:-\:x\:=\:4.7777.....\:-\:0.4777......$

$⟹\:9x\:=\:4.3$

$⟹$ $x$ $=$ $\dfrac{43}{9×10}$

$\boxed {Thus\:0.47 \: =\:\dfrac{43}{90}}$