explain 0.3178 in the p/q form
Answers
Answer:
x=3175/990
Step-by-step explanation:
x= 0.3178178.... (i)
Multiply 10 on both sides-
10x=3.178178... (ii)
Multiply 100 on both sides-
100x=31.78178.... (iii)
Multiply 1000 on both sides-
1000x=317.8178..... (iv)
Multiply 10,000 on both sides-
10000x= 3178.178178 (v)
Subtract (ii) from (v)
10000x-10x= 3178.178178..... --3.178178
9990x= 3175
x=3175/990
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x= 0.3178178
Multiply 10 on both sides
10x = 3.178178----------- 1
multiply 1000 on both sides
10000x = 3178.178178 ---------2
Subtract 1 from 2
10000x - 10x = 3178.178178 - 3.178178
9990x = 3175
x=3175/9990 ( answer)
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Answer:x= 0.3178178 Multiply 10 on both sides10x = 3.178178----------- 1 multiply 1000 on both sides10000x = 3178.178178 ---------2Subtract 1 from 2 10000x - 10x = 3178.178178 - 3.1781789990x = 3175x=3175/9990 Read more on Brainly.in - https://brainly.in/question/17949104#readmore