Divide.
-$\frac { 27 x - 27 } { 5 } \div \frac { 9 x - 9 } { 10 }$
A) $\frac { 1 } { 6 }$
B) $\frac { 2 ( 27 x - 27 ) } { 9 x - 9 }$
C) $\frac { 243 ( x - 1 ) ^ { 2 } } { 50 }$
D)6

Question

Quizplus · Accepted Answer

To solve the given expression, $\frac { 27 x - 27 } { 5 } \div \frac { 9 x - 9 } { 10 }$, we first factor out the common terms in the numerators and then use the rule of division of fractions, which is to multiply by the reciprocal of the divisor. Factoring out the common terms, we get:$\frac { 27(x - 1) } { 5 } \div \frac { 9(x - 1) } { 10 }$This simplifies to:$\frac { 27(x - 1) } { 5 } \times \frac { 10 } { 9(x - 1) }$The (x - 1) terms and the 9 cancel out, and we are left with:$\frac { 27 \times 10 } { 5 \times 9 }$Simplifying this gives:$\frac { 270 } { 45 } = 6$Therefore, the correct answer is 6.

Divide - 27x−275÷9x−910\frac { 27 x - 27 } { 5 } \div \frac { 9 x - 9 } { 10 }527x−27​÷109x−9​

Divide
- $\frac { 27 x - 27 } { 5 } \div \frac { 9 x - 9 } { 10 }$