The expression 168/25 represents a fraction. A simplified fraction is one where the numerator and denominator share no common factors other than 1. In this instance, 168 and 25 possess no common factors other than 1; therefore, the fraction is already in its simplest form. It can also be expressed as a mixed number, which is a whole number and a proper fraction combined. To convert 168/25 into a mixed number, divide 168 by 25. The quotient represents the whole number part, and the remainder becomes the numerator of the fractional part, keeping the same denominator.
Understanding simplified fractions is fundamental in mathematics as it allows for easier comparison and manipulation of fractional quantities. It presents values in their most concise form, reducing the potential for errors during calculations and promoting clarity in mathematical expressions. Representing the fraction as a mixed number can provide a more intuitive understanding of its magnitude relative to whole numbers. Historically, simplifying fractions has been a crucial step in various fields, including engineering, finance, and physics, where precise calculations are essential.
