Question

Find the greatest common divisor (GCD) for 33/51 then simplify the fraction. What is the GCD of the number and the denominator of 35/51?

Answer 1

$\frac{33}{51}\text{ = }\frac{11}{17}$

Here, we want to get the greastest common divisor of the denominator and the numerator

What we simply want to find here is the greatest number that could be divided by both

We can have this as follows;

$\frac{33}{51}\text{ =}\frac{3\times11}{3\times17}$

The greatest common divisor here is 3

Simplifying the fraction, the three on both sides will cancel out and we have;

$\frac{33}{51}=\frac{11}{17}$