How to completely reduce (simplify) fractions to the lowest terms (the simplest form, the smallest possible numerator and denominator): steps to follow and examples

Example 1: reduce the proper fraction 24/32 to its lower terms.

Example 2: reduce the proper fraction 130/455 to its lower terms.

Example 3: reduce the proper fraction 315/1,155 as much as possible, simplify it to the lowest terms.

Example 4: reduce the improper fraction 455/130 to its lower terms.

Why reducing fractions to lower terms (simplifying)?

Operations with fractions often involve them being brought to the same denominator and sometimes both the numerators and denominators are large numbers. Doing calculations with such large numbers could be difficult. By simplifying (reducing) a fraction, both the numerator and denominator of the fraction are reduced to smaller values, much easier to work with.

Some articles on the prime numbers

What is a prime number? Definition, examples

What is a composite number? Definition, examples

The prime numbers up to 1,000

The prime numbers up to 10,000

The Sieve of Eratosthenes

The Euclidean Algorithm

Completely reduce (simplify) fractions to the lowest terms: Steps and Examples