Convert to a Simplified Fraction 0.125

Problem

0.125

Solution

1. Identify the place value of the decimal. Since there are three digits after the decimal point, the number represents 125 thousandths.

2. Write the decimal as a fraction with a power of 10 in the denominator.

0.125=125/1000

3. Find the greatest common divisor (GCD) of the numerator and the denominator. Both 125 and 1000 are divisible by 125.

4. Simplify the fraction by dividing both the numerator and the denominator by 125.

(125÷125)/(1000÷125)=1/8

Final Answer

0.125=1/8

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