Maths-
General
Easy
Question
Express the following recurring decimals as vulgar fraction
b) 0.743434343......
Hint:
Perform necessary multiplications to make it as a fraction.
The correct answer is: 368/495
Complete step by step solution:
(b) Let x = 0.743434343…(i)
Now multiply by 10 on both the sides in (i),
We get, 10x = 7.434343
Now multiply by 100 on both the sides in (i),
100x = 74.3434343
Now multiply by 1000 on both the sides in (i),
1000x = 743.434343
On subtracting 10x from both the sides, we have
On simplification, we have 
Hence 0.7434343434....... = 
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