Divide. Write the answer in simplest form.
-$5 \frac { 7 } { 9 } \div 5 \frac { 1 } { 6 }$
A) $1 \frac { 12 } { 93 }$
B) $1 \frac { 11 } { 92 }$
C) $1 \frac { 11 } { 93 }$
D) $2 \frac { 11 } { 93 }$

Question

Quizplus · Accepted Answer

First, convert the mixed numbers to improper fractions: $5 \frac { 7 } { 9 } = \frac { 52 } { 9 }$ and $5 \frac { 1 } { 6 } = \frac { 31 } { 6 }$. Then, divide the first fraction by the second, which is equivalent to multiplying the first fraction by the reciprocal of the second: $\frac { 52 } { 9 } \times \frac { 6 } { 31 } = \frac { 312 } { 279 }$. Simplify this fraction to get $1 \frac { 33 } { 279 }$, which can be further simplified to $1 \frac { 11 } { 93 }$ by dividing both numerator and denominator by 3.

Divide Write the Answer in Simplest Form 579÷5165 \frac { 7 } { 9 } \div 5 \frac { 1 } { 6 }597​÷561​

Divide Write the Answer in Simplest Form $5 \frac { 7 } { 9 } \div 5 \frac { 1 } { 6 }$