Question

# Error Analysis Aaron says that the sum of -\frac{9}{16} and \frac{3}{16} is \frac{3}{4}. Without performing the addition, how can you tell that Aaron'

Factors and multiples

Error Analysis Aaron says that the sum of $$\displaystyle-{\frac{{{9}}}{{{16}}}}$$ and $$\displaystyle{\frac{{{3}}}{{{16}}}}$$ is $$\displaystyle{\frac{{{3}}}{{{4}}}}$$. Without performing the addition, how can you tell that Aaron's answer is incorrect?

The absolute value of $$\displaystyle-{\frac{{{9}}}{{{16}}}}{i}{s}\ {g}{r}{e}{a}{t}{e}{r}\ {t}{h}{a}{n}\ {t}{h}{e}\ {\left|{o}\right|}{l}{u}{t}{e}\ {v}{a}{l}{u}{e}\ {o}{f}-{\frac{{{3}}}{{{16}}}}$$, so their sum must be negative.
Since $$-\frac{3}{4}$$ is a positive number, it is not the correct solution.