Question

Divide. −4 3/5÷1 1/5 Enter your answer as a mixed number, in simplified form, in the box.

Answer 1

Hello,

Question:

Divide. −4 3/5÷1 1/5 Enter your answer as a mixed number, in simplified form, in the box.

Solution:

Turn into improper fraction,

-4 3/5 = 23/5

1 1/5 = 6/5

Use Copy Dot Flip,

-23/5 x 5/6

Multiply Across,

-23 x 5 = -115

5 x 6 = 30

= -115/30

Turn into Mixed Number,

-115/30 = -3 25/30

Simplify,

-3 25/30 = -3 5/6

Answer:

-3 5/6

Answer 2

Answer by Mimiwhatsup:

`-4(3)/(5)/ \:1(1)/(5)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4(3)/(5)=(23)/(5)\\-4(3)/(5)/ \:1(1)/(5)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a* \:c+b)/(c)\\4(3)/(5)=(4* 5+3)/(5)=(23)/(5)\\\\-(23)/(5)/ \:1* (1)/(5)\\=-(23)/(5)/ \:1(1)/(5)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1(1)/(5)=(6)/(5)\\\\`

`-(23)/(5)/ \:1(1)/(5)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a* \:c+b)/(c)\\1(1)/(5)=(1* 5+1)/(5)=(6)/(5)\\-(23)/(5)/ (6)/(5)\\=-(23)/(5)/ (6)/(5)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)\\=-(23)/(5)* (5)/(6)\\\mathrm{Cross-cancel:}\:5\\=-(23)/(6)\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad (23)/(6)\\`

`\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline\smallspace23\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Multiply\:the\:quotient\:digit}\:\left(3\right)\:\mathrm{by\:the\:divisor}\:6\\`
`\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline\smallspace23\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Subtract}\:18\:\mathrm{from}\:23\\`

`\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline\smallspace23\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace5\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\`

`\mathrm{The\:solution\:for\:Long\:Division\:of}\:(23)/(6)\:\mathrm{is}\:3\:\mathrm{with\:remainder\:of}\:5\\3\quad \mathrm{Remainder}\quad \:5\\Convert\:to\:mixed\:number:\:Quotient(Remainder)/(Divisor)\\(23)/(6)=3(5)/(6)\\Answer: -3(5)/(6)`