Final answer:
A fraction with equivalent numerator and denominator values, even in different units, simplifies to 1. This concept applies to algebra and allows for simplifying expressions and solving for variables by canceling out like terms. An expression remains an equality if the same operation is applied on both sides of the equation.
Step-by-step explanation:
The question relates to the concept that a fraction with the same numerator and denominator is equal to 1. This is a basic rule of algebra, which states that if we perform the same operation on both sides of an equality, the expression remains an equality. When both the numerator and the denominator have the same quantity, even if in different units, they cancel each other out, resulting in the value of 1. For instance, 1 meter (m) over 100 centimeters (cm) simplifies to 1 because 1 m equals 100 cm, hence both quantities are equal despite being expressed in different units. Similarly, to solve for a variable like 'y', one could divide both sides of an equation by a given term to isolate 'y'.
If we were to have a fraction like 0.00675 (0.15)m over 0.00300 (0.10)m, we would cancel equivalent terms in the numerator and denominator, simplifying the expression.