Question

Que. The value of 2/3 + 3/4 + 1/2 is


Answer with explanation​

Answer 1

Answer:

Analysis→

Here we're given three fractions $\rm{\dfrac{2}{3},\dfrac{3}{4}\:and\:\dfrac{1}{2}}$ and we've to find the sum of all the these fractions(we've have to add all of them). But as we can see that their denominator is not equal, so we've to make their denominator equal by taking the LCM and then we can simply add them.

Given→

Fractions=

$\mapsto{\dfrac{2}{3}}$

$\mapsto{\dfrac{3}{4}}$

$\mapsto{\dfrac{1}{2}}$

To Perform→

Addition of all the fractions.

Answer→

$\rm\rightarrow{\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{1}{2}}$

$\rm\rightarrow{\dfrac{4\times2}{12}+\dfrac{3\times3}{12}+\dfrac{6\times1}{12}[LCM(2,3,4)=12]}$

$\rm\rightarrow{\dfrac{(4\times2)+(3\times3)+(6\times1)}{12}}$

$\rm\rightarrow{\dfrac{8+9+6}{12}}$

$\rm\rightarrow{\dfrac{17+6}{12}}$

$\rm\rightarrow{\dfrac{23}{12}}$

${\boxed{\boxed{\rightarrow{\rm{\dfrac{23}{12}✔}}}}}$

☞ Hence $\rm{\dfrac{23}{12}}$ is the sum of all the three fractions which is the required answer.

HOPE IT HELPS.

Answer 2

$\rm\rightarrow{\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{1}{2}} \: \\ </p><p>\rm\rightarrow{\dfrac{4\times2}{12}+\dfrac{3\times3}{12}+\dfrac{6\times1} {12}[LCM(2,3,4)=12]} \\ </p><p>\rm\rightarrow{\dfrac{(4\times2)+(3\times3)+(6\times1)}{12}} \\ </p><p>\rm\rightarrow{\dfrac{8+9+6}{12}} \\ </p><p>\rm\rightarrow{\dfrac{17+6}{12}} \\ </p><p>\rm\rightarrow{\dfrac{23}{12}}$

So, the Answer is 23/12.