Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

reduce the given rational number to its lowest terms \\(\frac{260}{505}…

Question

reduce the given rational number to its lowest terms
\\(\frac{260}{505}\\)
\\(\frac{260}{505} div square\\)

Explanation:

Step1: Find GCD of 260 and 585

Prime factors: $260=2^2\times5\times13$, $585=3^2\times5\times13$. GCD is $5\times13=65$.

Step2: Divide numerator/denominator by GCD

$\frac{260\div65}{585\div65}=\frac{4}{9}$

Answer:

$\frac{4}{9}$
(The number to fill in the box is 65)