The decimal number 1.875 can be expressed as a fraction by understanding place values and simplification. The digits to the right of the decimal point represent fractions with denominators that are powers of ten. Therefore, 1.875 initially translates to 1 and 875/1000. Subsequently, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, and dividing both by it. In this instance, 875/1000 can be simplified to 7/8. Thus, 1.875 is equivalent to the mixed number 1 7/8, or the improper fraction 15/8.
Converting decimals to fractions is a fundamental skill in mathematics. Its significance lies in its ability to provide an exact representation of a number, especially when dealing with repeating decimals which can only be approximated in decimal form. The fractional representation facilitates precise calculations, and offers a clearer understanding of proportional relationships. Historically, this skill has been vital in trade, engineering, and scientific endeavors, where accurate measurements and precise ratios are essential.
