Question

Is negative one and one third greater than negative twelve- fivths

Answer 1

$-1\dfrac{1}{3}>-\dfrac{12}{5}\\ -\dfrac{4}{3}>-\dfrac{12}{5}\\ -\dfrac{20}{15}>-\dfrac{36}{15}$

YES

Answer 2

$-1\frac{1}{3}=-1- \frac{1}{3}=-\frac{3}{3}-\frac{1}{3}=-\frac{4}{3} \\ and \\ -\frac{12}{5} \\ \\ LCM(3,5)=3 \times 5=15 \\ -\frac{4}{3}=-\frac{4 \times 5}{3 \times 5}=-\frac{20}{15} \\ -\frac{12}{5}=-\frac{12 \times 3}{5 \times 3}=-\frac{36}{15} \\ \\ -20>-36 \Rightarrow -\frac{20}{15} > -\frac{36}{15} \Rightarrow -1\frac{1}{3} > -\frac{12}{5}$

Yes, it's greater.