Question

Reduce the following fractions into their simplest form.

$\frac{166}{360}$

Answer 1

The numerator and denominator of the simplest form of the fraction does not have any common factor between them other than $1$.

In the simplest form of fraction Numerator and Denominator are whole numbers that are coprime to each other.

Let's express both the numerator and denominator of a fraction as a product of their primes and then simplify

$\frac{166}{360}=\frac{2\times 83}{2\times 2\times 2\times 3\times 3\times 5}=\frac{83}{180}$

Hence$\frac{83}{180}$, is the simplest form of $\frac{166}{360}$