Math, asked by KrishnaAgarwalHindu, 5 hours ago

express 0.47 (infinite) in form of p/q​

Answers

Answered by himanisabharwal360
2

Answer:

27 is answer i am not sure

Answered by MysticalMagic
109

Answer:

Question

express 0.47 (infinite) in form of p/q

Answer

 \sf the  \: value  \: of  \: 0.47 \:  be \:  in \:  the \:  form  \: of \:  fraction  \: is  \frac{43}{90}

to find

  \frac{p}{q}  =  \: ??

solution

given: we have to express 0.47 ( bar on 7) in the form of p/q

let us assume that

\sf  \pink {x = 0.47777}

multiplying both the sides by 10, we get

 \sf \pink {10x = 4.7777----------(1)}

multiplying both the sides by 100, we get

 \sf \pink {10x = 4.7777----------(2)}

subtract equation (1) and (2)

 \sf \pink {100 \: x = 47.777}

 \sf \pink {10 \: x = 4.777}

 \sf \pink{90 \: x = 43.000}

x =  \frac{43}{90}

thus, value of 0.47 will be in the form of fraction is

 \sf \green { \frac{43}{90} }

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