The incorrect statement is c. Equivalent fractions can be expressed as decimals, contrary to what option c suggests. This is demonstrated through the concept of equivalent fractions and conversion factors.
The statement that is not true among the options provided is c. Equivalent fractions cannot be expressed as decimals. This is false because equivalent fractions can indeed be expressed as decimals. When we have two fractions with different numerators and denominators that represent the same quantity, they are equivalent fractions. By dividing the numerator by the denominator, both the equivalent fraction and the original fraction will result in the same decimal value.
For example, the fractions ½ and 2/4 are equivalent because they both represent the same quantity; when converted to decimals, both equal 0.5. A fraction with the same quantity in the numerator and the denominator, such as 100 cm / 1 m, is actually a conversion factor and equals 1 because they express the same length in different units. Multiplying or dividing by conversion factors involving equivalent fractions maintains the equality of an equation.