Question

Add 2 4/5 and 3 5/6


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Answer 1

Question

Add 2 4/5 and 3 5/6

Solution

In this question,We have to add 2 4/5 and 3 5/6.So,Firstly,We will learn that How to add or subtract mixed fraction.Mixed fractions can be written either as a whole part plus a proper fraction or entirely as an improper fraction.One way to add or subtract mixed fractions is to do the operation seperately for the whole parts and the other way is to write the mixed fractions as improper fractions and then directly add or subtract them.

${ \underline{ \frak{ \pink{ \: \: \: \: \: \: \: According \: to \: the \: question \: \: \: \: \: \: \: }}}}$

$\longrightarrow\sf{2 4/5 + 3 5/6}$

$\longrightarrow\sf{2 + 4/5 + 3 + 5/6 = 5 + 4/5 + 5/6}$

$\longrightarrow\sf{Now,4/5 + 5/6 = 4 × 6/5 × 6 + 5 × 5/6 × 5 (Since \ LCM \ of \ 5 \ and \ 6 \ = \ 30)}$

$\longrightarrow\sf{24/30 + 25/30 = 49/30 = 30 + 19/30 = 1 + 19/30}$

$\longrightarrow\sf{Thus, 5 + 4/5 + 5/6 = 5 + 1 + 19/30 = 6 + 19/30 = 6 19/30}$

Therefore,

$\longrightarrow\sf{2 4/5 + 3 5/6 = 6 19/30}$

Additional Information :

A fraction is a part of a whole number.The number of the upper part of the fraction is termed as numerator and the lower part of the fraction is termed as denominator.

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${ \underline{ \sf{ \pink{ \: \: \: \: \: Types \: of \: Fractions \: \: \: \: \: }}}}$

• Proper Fraction

• Improper Fraction

• Mixed Fraction

Proper Fraction

If the numerator is less than the denominator then this is called ProperFraction.

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Improper fraction

Numerator is greater than denominator.It is called Improper Fraction.

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Mixed Fraction

The upper part of the fraction is termed as numerator and the lower part of the fraction is termed as Denominator.

Answer 2

Answer:

Question

Add 2 4/5 and 3 5/6

Solution

In this question,We have to add 2 4/5 and 3 5/6.So,Firstly,We will learn that How to add or subtract mixed fraction.Mixed fractions can be written either as a whole part plus a proper fraction or entirely as an improper fraction.One way to add or subtract mixed fractions is to do the operation seperately for the whole parts and the other way is to write the mixed fractions as improper fractions and then directly add or subtract them.

\begin{gathered}\\\end{gathered}

{ \underline{ \frak{ \pink{ \: \: \: \: \: \: \: According \: to \: the \: question \: \: \: \: \: \: \: }}}}

Accordingtothequestion

\longrightarrow\sf{2 4/5 + 3 5/6}⟶24/5+35/6

\longrightarrow\sf{2 + 4/5 + 3 + 5/6 = 5 + 4/5 + 5/6}⟶2+4/5+3+5/6=5+4/5+5/6

\begin{gathered}\\\end{gathered}

\longrightarrow\sf{Now,4/5 + 5/6 = 4 × 6/5 × 6 + 5 × 5/6 × 5 (Since \ LCM \ of \ 5 \ and \ 6 \ = \ 30)}⟶Now,4/5+5/6=4×6/5×6+5×5/6×5(Since LCM of 5 and 6 = 30)

\begin{gathered}\\\end{gathered}

\longrightarrow\sf{24/30 + 25/30 = 49/30 = 30 + 19/30 = 1 + 19/30}⟶24/30+25/30=49/30=30+19/30=1+19/30

\begin{gathered}\\\end{gathered}

\longrightarrow\sf{Thus, 5 + 4/5 + 5/6 = 5 + 1 + 19/30 = 6 + 19/30 = 6 19/30}⟶Thus,5+4/5+5/6=5+1+19/30=6+19/30=619/30

\begin{gathered}\\\end{gathered}

Therefore,

\longrightarrow\sf{2 4/5 + 3 5/6 = 6 19/30}⟶24/5+35/6=619/30

\begin{gathered}\\\end{gathered}

Additional Information :

A fraction is a part of a whole number.The number of the upper part of the fraction is termed as numerator and the lower part of the fraction is termed as denominator.

⠀⠀⠀⠀⠀⠀⠀⠀⠀

{ \underline{ \sf{ \pink{ \: \: \: \: \: Types \: of \: Fractions \: \: \: \: \: }}}}

TypesofFractions

Proper Fraction

Improper Fraction

Mixed Fraction

Proper Fraction

If the numerator is less than the denominator then this is called ProperFraction.

⠀⠀⠀⠀⠀⠀⠀⠀⠀

Improper fraction

Numerator is greater than denominator.It is called Improper Fraction.

⠀⠀⠀⠀⠀⠀⠀⠀⠀

Mixed Fraction

The upper part of the fraction is termed as numerator and the lower part of the fraction is termed as Denominator.