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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