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express 0.134 in rational numbers

Question

express 0.134 in rational numbers

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Solution

0.134 can be expressed as a rational number by writing it as a fraction. Here are the steps:

  1. Identify the decimal to be converted. In this case, it's 0.134.
  2. Determine the place value of the last digit. In this case, the last digit is 4 and it's in the thousandths place.
  3. Write the decimal as a fraction. The number of the decimal becomes the numerator and the place value becomes the denominator. So, 0.134 becomes 134/1000.
  4. Simplify the fraction if possible. The greatest common divisor (GCD) of 134 and 1000 is 2. So, divide both the numerator and the denominator by 2 to get the simplified fraction. 134 ÷ 2 = 67 and 1000 ÷ 2 = 500. So, the simplified fraction is 67/500.

So, 0.134 can be expressed as the rational number 67/500.

This problem has been solved

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