Simplest fraction is also called reduced fraction, which can be understood as reduced fraction, that is, both numerator and denominator are prime numbers. Although the false score is greater than 1 or equal to 1, it is the simplest score if the above definition is met. The simplest score does not distinguish between true and false scores. But the false score can't be reduced to the simplest true score. Irreducible fractions are irreducible fractions.
In mathematics, simplest fraction has an important position, because they represent the simplest form of fractions, and they are also the basis of our fractional operation. The nature of the simplest fraction can help us simplify the complicated fractional operation and improve the calculation efficiency.
To judge whether a fraction is the simplest fraction, it is necessary to check whether the numerator and denominator have common factors other than 1. If not, then the score is the simplest score. If so, we need to simplify this score by reduction to make it the simplest score.
In simplification, we can simplify fractions by finding the greatest common factor of numerator and denominator. The greatest common factor is the largest positive integer owned by two or more integers * * *, which means that we can divide the numerator and denominator by dividing by the greatest common factor at the same time, thus simplifying the fraction.
Besides dating, we can also find the simplest score through mutual quality.
Two numbers are coprime if their greatest common factor is 1. So we can decompose the prime factors of numerator and denominator, then find out the prime factors, and divide them by these prime factors to get the simplest score.
For example, for fractions 2 10/280, we can decompose them into prime factors: 2 10=2×3×5×7, and 280=2×2×2×5×7. It can be seen that some prime factors are 2, 5 and 7, so we can divide the numerator and denominator by 2, 5 and 7 to get the simplest score of 30/40.