Remember that a fraction is equivalent to division. That is, the fraction a/b is equivalent to \(a \div b\).

Therefore, \(\displaystyle-{\frac{{{4}}}{{{2}}}}\) is equivalent to \(-4 \div 2.\)

The quotient of two numbers with opposite signs is negative and the quotient of two numbers with the same sign is positive.

Since −4 and 2 have opposite signs, then \(−4 \div 2\) will equal a negative number.

Since \(\displaystyle{4}÷{2}={2}\), then \(\displaystyle−{4}÷{2}=−{2}\)