Simplify.
-$\frac { 6 \left( 17 - 3 ^ { 2 } \right) } { 9 \cdot 8 \cdot 14 }$

A) $\frac { 1 } { 21 }$

B) $\frac { 2 } { 3 }$

C) $\frac { 11 } { 8 }$

D) 21

Question

Simplify.
-$\frac { 6 \left( 17 - 3 ^ { 2 } \right) } { 9 \cdot 8 \cdot 14 }$

A) $\frac { 1 } { 21 }$

B) $\frac { 2 } { 3 }$

C) $\frac { 11 } { 8 }$

D) 21

Quizplus · Accepted Answer

First, simplify inside the parentheses: $17 - 3^2 = 17 - 9 = 8$. Then, multiply by 6: $6 \cdot 8 = 48$. The denominator simplifies to $9 \cdot 8 \cdot 14 = 72 \cdot 14$. Simplifying further, $48/(72 \cdot 14) = 48/1008$. When you simplify $48/1008$, you get $1/21$, which matches option A.

Simplify - 6(17−32)9⋅8⋅14\frac { 6 \left( 17 - 3 ^ { 2 } \right) } { 9 \cdot 8 \cdot 14 }9⋅8⋅146(17−32)​

Simplify
- $\frac { 6 \left( 17 - 3 ^ { 2 } \right) } { 9 \cdot 8 \cdot 14 }$