Remember that a fraction is equivalent to division. That is, the fraction a/b is equivalent to a÷b.

Therefore, \(\displaystyle-{\frac{{{4}}}{{{2}}}}\) is equivalent to -4÷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÷2 will equal a negative number.

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

Therefore, \(\displaystyle-{\frac{{{4}}}{{{2}}}}\) is equivalent to -4÷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÷2 will equal a negative number.

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