Asked by Filip Gabric on May 30, 2024
Verified
Multiply the fractions (49) (−52) \left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right) (94) (−25) and write the result in simplest form.
A) −3718- \frac { 37 } { 18 }−1837
B) 17\frac { 1 } { 7 }71
C) - 17\frac { 1 } { 7 }71
D) −109- \frac { 10 } { 9 }−910
E) 109\frac { 10 } { 9 }910
Simplest Form
An expression or fraction that has been simplified to the point that it cannot be made any simpler, often by removing common factors.
- Perform arithmetic operations with fractions (addition, subtraction, multiplication, division) and simplify the results.
Verified Answer
KP
Kristen PeterkaJun 03, 2024
Final Answer :
D
Explanation :
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.
Learning Objectives
- Perform arithmetic operations with fractions (addition, subtraction, multiplication, division) and simplify the results.