Question

Reduce the following fractions into their simplest form.

$\frac{175}{340}$

Answer 1

The numerator and denominator of the simplest form of fraction do 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

$\frac{175}{340}=\frac{5\times 5\times 7}{2\times 2\times 5\times 17}=\frac{35}{68}$

Hence$\frac{35}{68}$, is the simplest form of $\frac{175}{340}$