Question

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

Answer:

-5 x1/6 is your answer

$\huge\mathfrak\red{Dishant}$

Answer 2

Required Solution:

This question says that we have to convert the following into mixed fraction, the given expression is mentioned below:

$\begin{gathered}\begin{gathered} {\pmb{\sf{Convert \: \dfrac{31}{-6} \: into \: mixed \: fraction}}} \\\end{gathered}\end{gathered}$

Explanation:

The given fraction is an improper fraction, just improper fractions are those fractions which can converted into mixed fractions!

How to know that fraction is improper? Improper fraction is that fraction whose numerator is greater than it's denominator. Like, 31 is numerator and -6 is denominator here and we known that 31 is greater than -6! That's why it is an improper fraction!

Step by step explanation:

Step 1st Firstly we have to divide 31/-6 then we get -5 as quotient

$\begin{gathered}\sf \: \: \: \: 5 \\ \begin{array}{cc} \sf 6 )\sf \overline {31} \\\sf \:\:\:\: \underline {30} \\ \sf \: \: \: \: \underline{01}\\ \end{array}\\\end{gathered}$

Step 2nd Afterwards we have to see that what is remainder? Remainder is 1 here

Step 3rd Now at last we know that we have to write the quotient that is -5 as whole form and we have to write numerator as remainder that is 1 and we have to write denominator as 6.

The below is our required mixed fraction: ${\sf{-5 \dfrac{1}{6}}}$

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Additional information:

All fractions are rational number but not all rational numbers are fraction beacuse a fraction is that part of number that is always positive but rational numbers are those numbers which can be both positive and negative. That's all!

a) Natural numbers: Symbol N is used to denote natural numbers. Natural numbers are those numbers which starts from 1 and last till infinity. ∞ is the symbol used to denote infinity.

b) Whole numbers: Symbol W is used to denote whole numbers. Whole numbers are those numbers which starts from 0 and last till infinity. ∞ is the symbol used to denote infinity.

c) Integers: Symbol Z is used to denote integers because Z cames from the German word that is zahlen that's mean to count. The set of whole numbers and negative of natural numbers known as integers. Integer can be negative or positive. 0 is neither positive nor negative integer!

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