Math, asked by yasaswinipadamati, 1 year ago

decimal in p/q form 3.127 in this 7 has bar

Answers

Answered by mysticd
116

Answer:

x = 3.127 = \frac{563}{180} \* p/q form *\

Explanation:

Let x = 3.12777....---(1)

multiply equation (1) by 100, we get

100x = 312.7777.....---(2)

Now ,

multiply equation (2) by 10 , we get

1000x = 3127.7777...----(3)

Subtract equation (2) from equation (3) , we get

900x = 2815

\implies x = \frac{2815}{900}

\implies x = \frac{5\times 563}{5\times 180}

\implies x = \frac{563}{180} /* p/q form */

Therefore,

x = 3.127 = \frac{563}{180}

••••

Answered by rozyrony7
21

Answer:

x=2815/900

Step-by-step explanation:

x=3.12777777

multiplying once with 100 and 1000

1000x=3127.77777-100x=312.77777

900x = 2815

p/q form is 2815/900

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