Perform the operation and give the answer as a fraction in lowest terms.
-$$\left( - \frac { 1 } { 4 } \right) \div \left( \frac { 9 } { 10 } \right)$$
A) $- \frac { 5 } { 18 }$
B) $\frac { 1 } { 36 }$
C) $\frac { 5 } { 3 }$
D) $- \frac { 9 } { 40 }$

Question

Quizplus · Accepted Answer

Dividing by a fraction is the same as multiplying by its reciprocal. Thus, $- \frac { 1 } { 4 } \div \frac { 9 } { 10 } = - \frac { 1 } { 4 } \times \frac { 10 } { 9 } = - \frac { 10 } { 36 } = - \frac { 5 } { 18 }$ in lowest terms.

Perform the Operation and Give the Answer as a Fraction (−14)÷(910)\left( - \frac { 1 } { 4 } \right) \div \left( \frac { 9 } { 10 } \right)(−41​)÷(109​)

Perform the Operation and Give the Answer as a Fraction $\left( - \frac { 1 } { 4 } \right) \div \left( \frac { 9 } { 10 } \right)$