Question

question
perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.
$-dfrac{9}{4} cdot dfrac{5}{4}$

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions \(-\frac{9}{4}\) and \(\frac{5}{4}\), we multiply the numerators together and the denominators together. The formula for multiplying fractions \(\frac{a}{b} \cdot \frac{c}{d}=\frac{a\cdot c}{b\cdot d}\). So, \(-\frac{9}{4} \cdot \frac{5}{4}=\frac{-9\times5}{4\times4}\).

Step2: Calculate the product

Calculate the product of the numerators and the product of the denominators. \(-9\times5 = - 45\) and \(4\times4=16\). So we get \(\frac{-45}{16}\), which can also be written as \(-\frac{45}{16}\). Since 45 and 16 have no common factors other than 1, the fraction is in its simplest form.

Answer:

\(-\frac{45}{16}\)