The value of 0.3{56} is

Correct Answer is : 353990\;353/990990353

Correct Answer is : 353990\;353/990990353

Test Index

Logarithms

Question : 60 of 85

Marks: +1, -0

The value of

0.3\overline{56}

Solution:

Concept:

Convert a repeating decimal to a fraction by multiplying to shift the decimal point and subtracting to eliminate the repeating part.

Explanation:

Let

x = 0.3\overline{56} = 0.3565656\ldots

Multiply by

10

to shift one digit:

10x = 3.565656\ldots

Multiply by

1000

to shift three digits:

1000x = 356.565656\ldots

Subtract:

1000x - 10x = 356.5656\ldots - 3.5656\ldots = 353

990x = 353

, thus

x = \frac{353}{990}

Answer:

\frac{353}{990}

, which is option C.

Go to Question:

Prev Question

Next Question