Perform the operation indicated.
-$\frac { 27 x - 27 } { 2 } \div \frac { 9 x - 9 } { 10 }$
A) $\frac { 243 ( x - 1 ) ^ { 2 } } { 20 }$
B) $\frac { 1 } { 15 }$
C) $\frac { 5 ( 27 x - 27 ) } { 9 x - 9 }$
D) 15

Question

Quizplus · Accepted Answer

To solve the given expression, $\frac { 27 x - 27 } { 2 } \div \frac { 9 x - 9 } { 10 }$, we first factor out the common terms in the numerators:$\frac { 27(x - 1) } { 2 } \div \frac { 9(x - 1) } { 10 }$Then, we remember that dividing by a fraction is the same as multiplying by its reciprocal:$\frac { 27(x - 1) } { 2 } \times \frac { 10 } { 9(x - 1) }$Simplifying, we see that the $9(x - 1)$ terms cancel out, and we're left with:$\frac { 27 \times 10 } { 2 \times 9 }$Simplifying further:$\frac { 270 } { 18 } = 15$Therefore, the correct answer is 15.

Perform the Operation Indicated 27x−272÷9x−910\frac { 27 x - 27 } { 2 } \div \frac { 9 x - 9 } { 10 }227x−27​÷109x−9​

Perform the Operation Indicated $\frac { 27 x - 27 } { 2 } \div \frac { 9 x - 9 } { 10 }$