Question

add the improper fraction
7/6 + 4/5​

Answer 1

Answer:

1.96666666666666666666666

Answer 2

${\bf {\large{\underline{\underline{Given}}}}}$

• $\dfrac{7}{6} \: + \dfrac{4}{5}$

${\bf {\large{\underline{\underline{To \ Find}}}}}$

• We, have to find the Addition of the Improper Fraction.

${\bf {\large{\underline{\underline{Solution}}}}}$

${\underline {\underline {\boxed {\bf{Understanding \: the \: question}}}}}$

In Improper Fraction, we have to find the LCM of the Denominator of the given Fractions and then we have multiply the fraction by the number so that we can get the LCM and then we can add them because the numbers will be equal, But in Proper Fraction, we just have to add the Numerators, not the Denominators cause they are equal. So, we have to find the LCM of 6 and 5 because they are Denominators of the given fraction. After taking out the Whole Solution we should always have to convert the answer which comes in Improper Fraction To Mixed Fraction

${\dag{\pink{\underline{\boxed{\bf{Now \ lets \ solve}}}}}}$

LCM of 6 and 5 $\mapsto$ 30

$\Large{ \begin{array}{c|c} \tt 2 & \sf{ 6 , 5} \\ \cline{1-2} \tt 3 & \sf { 3 , 5} \\ \cline{1-2} \tt 5 & \sf {1 , 5}\\ \cline{1-2} & \sf{ 1 , 1} \end{array}}$

[Note:- Kindly see the diagram in the web page]

Now, we have found the LCM of the Denominators so we have to Multiply the Fraction by the numbers so that the answer will be the LCM that is 30.

      $:\implies$        ${\dfrac{7}{6}} \times {\dfrac{5}{5}} \leadsto {\bf{\dfrac{35}{30}}}$

      $:\implies$        ${\dfrac{4}{5}} \times {\dfrac{6}{6}} \leadsto {\bf{\dfrac{24}{30}}}$

      $:\implies$           ${\boxed{\mathfrak{\pink{\underline{\underline{\dfrac{59}{30}}}}}}}$    

So, we have got the Fraction equal so now we can simply add them

${\dfrac{35}{30}} \ + {\dfrac{24}{30}} \mapsto {\bf{\dfrac{59}{30}}}$

Now, we have taken out so we have divide now $\sf{59 \div 30}$ to get the answer in Mixed Fraction

    $:\implies$  $\sf{59 \div 30}$

    $:\implies$  ${\boxed{\mathfrak{\underline{\underline{\purple1{\dfrac{29}{30}}}}}}}$

∴ Hence, verified! that the answer is  ${\bf{\purple{\dfrac{59}{30}}}}$ or $\sf\green{1}$ ${\bf{\green{\dfrac{29}{30}}}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀