How do you convert the decimal 0.125 into a fraction in its simplest form?

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To convert the decimal 0.125 into a fraction in its lowest terms, follow these steps:

  1. Understanding the decimal: The decimal 0.125 means 125 thousandths. This can be expressed in fraction form as:

0.125 = 125/1000

  1. Simplifying the fraction: Next, we need to simplify the fraction 125/1000. To do this, we find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 125 and 1000 is 125.

  1. Divide both the numerator and the denominator by their GCD:

125 ÷ 125 = 1

1000 ÷ 125 = 8

This gives us the simplified fraction:

0.125 = 1/8

  1. Final conclusion: Therefore, the decimal 0.125 as a fraction in lowest terms is:

1/8

This means that 0.125 is equivalent to 1/8 when expressed as a fraction.

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