Multiply the fractions $\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right)$ and write the result in simplest form.
A) $- \frac { 37 } { 18 }$
B) $\frac { 1 } { 7 }$
C) -$\frac { 1 } { 7 }$
D) $- \frac { 10 } { 9 }$
E) $\frac { 10 } { 9 }$

Question

Quizplus · Accepted Answer

To multiply fractions, we multiply the numerators together and the denominators together. So, $\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right) = \frac{4 \cdot (-5)}{9 \cdot 2} = -\frac{20}{18}$. To simplify this fraction, we can divide both the numerator and denominator by the greatest common factor of 20 and 18, which is 2. This gives us $-\frac{10}{9}$. So, the final answer in simplest form is D.

Multiply the Fractions (49)(−52)\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right)(94​)(−25​)

Multiply the Fractions $\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right)$