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DaniilM [7]
3 years ago
5

Express the recurring decimal 0.034 as a fraction in its simplest form.

Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

\frac{17}{495} will be the fraction.

Step-by-step explanation:

Here the recurring decimal number is 0.0343434....

To convert this recurring decimal to fraction we assume,

x = 0.03434....   -------(1)

Now multiply both the sides with 100.

100x = 3.43434.... ------(2)

Now subtract equation (1) from equation (2).

100x = 3.43434

<u>      x = 0.03434</u>

99x = 3.4

x = \frac{3.4}{99}

  = \frac{34}{990}

x = \frac{17}{495}

Therefore, fraction that represents the decimal number is \frac{17}{495}

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