Question

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \sf Convert \: \frac{31}{ - 6} \: into \: mixed \: fraction \\\end{gathered}\end{gathered}\end{gathered}\end{gathered}\ \textless \ br /\ \textgreater$
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Answer 1

EXPLANATION.

Convert 31/-6 into mixed fraction.

As we know that,

We can write equation as,

⇒ 31/-6 = - 31/6.

If we divide -31/6, we get.

⇒ $\dfrac{-31}{6} = - 5\dfrac{1}{6}$

                                                                                                                         

MORE INFORMATION.

How to convert improper fraction to a mixed fraction.

Step = 1.

Divide the fraction numerator with the denominator.

Step = 2.

The integer part of the answer will be the integer part of mixed fraction.

Step = 3.

The denominator will be same as original.

Step = 4.

Hence, improper fraction is changed into mixed fraction.

Answer 2

Given that , A number in improper fraction , 31/-6 .

Exigency To Do : Convert improper fraction to mixed fraction [ i.e. -31/-6 ] .

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\qquad \qquad \dashrightarrow \sf Fraction \:=\:\dfrac{31}{-6}$

As , We know that ,

• If the denominator is in negative "-ve" then we multiply both numerator and denominator by -1 to convert it into appropriate form .

$\qquad \qquad \dashrightarrow\sf Fraction \:=\:\dfrac{31}{-6}$

$\qquad \qquad \dashrightarrow \sf Fraction \:=\:\dfrac{31 \times - 1}{-6 \times -1}$

$\qquad \qquad \dashrightarrow \sf Fraction \:=\:\dfrac{-31}{6}$

⠀⠀⠀⠀⠀⠀⠀⠀¤ Now , Converting improper fraction to mixed fraction [ i.e. -31/6 ] .

$\qquad \qquad \sf \dashrightarrow Fraction \:=\:\dfrac{-31}{6}$

STEP 1 : Devide the numerator of fraction by denominator .

• Now , By Dividing we get ,

$\sf\qquad\quad 5 \\ \begin{array}{cc} \sf 6 )\:\:\sf \overline {  -31 } \\\sf \:\: \:\:\:\:\:\: \underline {30 } \downarrow\\ \sf \ \ \  \underline { - 01 }\\ \end{array}\\\\\\ \sf \:\leadsto Divisor \rightarrow \:6 \:[ \:\:Denominator \:] \\ \\ \leadsto \sf \: Quotient \rightarrow 5 \\\\ \sf \leadsto Remainder \rightarrow - 01 \:$

Therefore,

☆ The mixed fraction will be :

• The mixed part will be Quotient which is 5 .
• The numerator will be Remainder which is 1 .
• The denominator will be same which is 6 .

STEP 2 : Now write in the mixed fraction in the given way .

$\qquad \qquad \sf \dashrightarrow Fraction \:=\:\dfrac{-31}{6}$

$\qquad \qquad \sf \dashrightarrow Mixed \: Fraction \:=\:5\dfrac{-1}{6}$

• Now , To do the fraction in appropriate form we should transfer the "-ve" negative sign to mixed part .

$\qquad \qquad \sf \dashrightarrow Mixed \: Fraction \:=\:5\dfrac{-1}{6}$

$\qquad \qquad \sf \dashrightarrow Mixed \: Fraction \:=\:-5\dfrac{1}{6}$

$\dashrightarrow \:\:\underline {\boxed{\purple {\pmb{\frak{\: Mixed \: Fraction \:=\:-5\dfrac{1}{6}\:\:\:}}}}}\:\:\bigstar$