Question

Write the fraction in lowest from $\frac{63}{90}$.

Answer 1

Given fraction $\frac{63}{90}$

Calculate the greatest common factor (divisor), gcf (gcd)

Integer numbers prime factorization

$63=3^2\times 7$

$90=2\times 3^2\times 5;$

Take all common prime factors, by the lowest exponents.

$gcf,gcd(63;90)=3^2=9$

Divide both numerator and denominator by their greatest common factor.

$\frac{63}{90}=\frac{3^2\times 7}{2\times 3^2\times 5}$

$=\frac{\left(\right(3^2\times 7)÷3^2)}{(2\times 3^2\times 5)÷3^2)}$

$=\frac{7}{(2\times 5)}$

$=\frac{7}{10}$