perform the operation and reduce the answer fully. make sure to express your answer as a simplified…

perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.\n$\frac{7}{4}cdot-\frac{4}{5}$

perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.\n$\frac{7}{4}cdot-\frac{4}{5}$

Answer

Explanation:

Step1: Multiply numerators and denominators

Multiply 7 by - 4 for the new numerator and 4 by 5 for the new denominator. So we have $\frac{7\times(-4)}{4\times5}=\frac{- 28}{20}$.

Step2: Simplify the fraction

Find the greatest - common divisor (GCD) of 28 and 20, which is 4. Divide both the numerator and denominator by 4. $\frac{-28\div4}{20\div4}=\frac{-7}{5}$.

Answer:

$-\frac{7}{5}$