Question

which sign makes the statement true?
\frac{-1}{2}?\frac{-3}{4}

Explanation:

Step1: Find a common denominator

The common - denominator of 2 and 4 is 4. Rewrite $\frac{-1}{2}$ as $\frac{-1\times2}{2\times2}=\frac{-2}{4}$.

Step2: Compare the fractions

We are comparing $\frac{-2}{4}$ and $\frac{-3}{4}$. When comparing two negative fractions with the same denominator, the fraction with the larger numerator (in absolute - value terms) is the smaller number. Since $|-2|\lt|-3|$, then $\frac{-2}{4}>\frac{-3}{4}$.

Answer: