The number 1.125 can be expressed as a fraction in its simplest form. This process involves converting the decimal into a fraction, which can be useful in various mathematical and real-world applications. Understanding how to convert decimals to fractions is a fundamental skill in mathematics, allowing for easier calculations and comparisons.
To convert 1.125 into a fraction, we can follow these steps: First, identify the decimal part, which is 0.125. Then, express this as a fraction by placing it over 1, giving us 0.125/1. Next, multiply both the numerator and the denominator by 1000 to remove the decimal, resulting in 125/1000.
The fraction 125/1000 can be simplified further by dividing both the numerator and the denominator by their greatest common divisor, which is 125. This simplification yields 1/8. Therefore, the decimal 1.125 is equivalent to the fraction one-eighth.
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