Question

-4 2/3 divided by 1 5/9

Show work

Answer 1

-3

Explanation:

Lets convert 4 2/3 to an improper fraction

-(4 * 3/3 + 2/3)/1 5/9

Combine 4 and 3/3

-(4 * 3/3 + 2/3)/1 5/9

Combine numerator over denom

-4 * 3 + 2/3/1 5/9

Simplify numerator

-12 + 2/3/1 5/9

Add 12 and 2

-14/3/1 5/9

Now we convert 1 5/9 to an improper.

-14/3/(9/9) + (5/9)

Combine

-14/3/(9 + 5)/9

Add 9 and 5

-14/3/(14/9)

Multiply yhe numerator by the reciprocal of the denom

-14/3 * 9/14

14(-1)/3 * 9/14

-1/3 * 9

Cancel the common factor of 3

-1/3 * (3(3))

-1 * 3 = -3

Answer 2

let's firstly convert the mixed fractions to improper fractions and then divide them.

`\stackrel{mixed}{4(2)/(3)}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} ~\hfill \stackrel{mixed}{1(5)/(9)}\implies \cfrac{1\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{14}{9}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{14}{3}/\cfrac{14}{9}\implies -\cfrac{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3}\cdot \cfrac{9}{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{9}{3}\implies -3`