The decimal 0.1875 represents a quantity less than one. To express this quantity as a fraction, one identifies the place value of the last digit. In this case, the ‘5’ is in the ten-thousandths place. Therefore, 0.1875 can be written as 1875/10000. This fraction can then be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator, and dividing both by it.
Expressing decimals as fractions is fundamental in mathematics, allowing for precise calculations and comparisons, particularly when dealing with ratios and proportions. Historically, fractions were used extensively before the widespread adoption of decimal notation, and understanding the relationship between them is essential for a comprehensive understanding of numerical systems. Simplification, as demonstrated, enables clearer understanding and easier manipulation in further calculations.