What is 0.43 (bar on3) in fraction form?
Answers
Answer:
Step-by-step explanation:
Let x = 0.433333........
Now multiply 10 from x
10x = 4.33333......
10x = 4 + 0.3333.....
( Now let y = 0.3333..... ------(1)
10y = 3.3333...... -------(2)
(2) - (1) => 9y = 3
y = 1/3 )
10x = 4 + 1/3
10x = 13/3
x = 13/30
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Answér :
13/30
Solution :
Here ,
We need to convert 0.4333.... in the form of p/q where q ≠ 0 .
Let X = 0.4333.... -----------(1)
Now ,
Multiplying both sides of eq-(1) by 10 , we get ;
=> 10 × X = 10 × 0.4333....
=> 10X = 4.333.... -------------(2)
Now ,
Multiplying both sides of eq-(2) by 10 , we get ;
=> 10 × 10X = 10 × 4.333....
=> 100X = 43.333.... -------------(3)
Now ,
Subtracting eq-(2) from (3) , we get ;
=> 100X - 10X = 43.333... – 4.333....
=> 90X = 39
=> X = 39/90
=> X = 13/30
=> 0.4333.... = 13/30