Why reducing (simplifying) fractions to lower terms?
When running operations with fractions we are often required to bring them to the same denominator, for example when adding, subtracting or comparing.
Sometimes both the numerators and the denominators of those fractions are large numbers and doing calculations with such numbers could be difficult.
By simplifying (reducing) a fraction, both the numerator and denominator of a fraction are reduced to smaller values. Well, these values are much easier to work with, reducing the overall effort of working with fractions.