Question

compare5/17 and -10/9​

Answer 1

Explanation:

5/17 already reduced to the lowest terms;

the numerator and denominator have no common prime factors:

5 is a prime number;

17 is a prime number;

1/3 already reduced to the lowest terms;

the numerator and denominator have no common prime factors:

1 cannot be factored into other prime factors;

3 is a prime number;

Answer 2

Compare 5/17 and -10/9

$\frac{5}{17} and \frac{ - 10}{9}$

LCM = 153

$\frac{5 \times 9}{17 \times 9} = \frac{45}{153}$

$\frac{ - 10 \times 17}{9 \times17} = \frac{ - 170}{153}$

Therefore, $\frac{45}{153}< \frac{ - 170}{ 153}$

So, $\frac{5}{17} < \frac{ - 10}{9}$