Final answer:
To simplify the complex fraction -7/4 divided by -9/8, multiply the numerator of the first fraction with the reciprocal of the second fraction. The simplified form of the complex fraction is 56/-36.
Step-by-step explanation:
To simplify the complex fraction -7/4 divided by -9/8, we can multiply the numerator of the first fraction (-7) with the reciprocal of the second fraction (-8/-9). The reciprocal of a fraction is obtained by flipping it upside down.
So, (-7/4) ÷ (-9/8) = (-7/4) × (-8/-9)
Multiplying the numerators (-7 × -8) gives us 56, and multiplying the denominators (4 × -9) gives us -36.
Therefore, the simplified form of the complex fraction is 56/-36.