6. The simplest form of the rational number 0. 196 is
a) 1/6
b) 3/6
c)13/66
d) 2/5
Answers
Answer:
196/1000=98/500=49/250
Explanation:
I hope it's help you
Which is the required simplest form of the rational number [ The correct option is c) 13/66 ]
Correct question : The simplest form of the rational number is
a) 1/6
b) 3/6
c) 13/66
d) 2/5
Given :
The number
To find :
The simplest form of the rational number is
a) 1/6
b) 3/6
c) 13/66
d) 2/5
Solution :
Step 1 of 2 :
Write down the given number
The given number is
Step 2 of 2 :
Find the simplest form of the rational number
Then x = 0.196969696..... - - - - - - - (1)
Multiplying both sides by 10 we get
10x = 1.96969696..... - - - - - - (2)
Again multiplying both sides by 100 we get
1000x = 196.96969696..... - - - - - - (3)
Equation 3 - Equation 2 gives
990x = 195
Which is the required simplest form of the rational number
Hence the correct option is c) 13/66
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