Question

sume of two fraction is 6 1/6. if one of the fraction is 2 1/3 which is the other fracrtion?​

Answer 1

Answer:

$\frac{23}{6}$

Step-by-step explanation:

Assume the other fraction as x

$2\frac{1}{3}+x=6\frac{1}{6}$

Now convert the mixed fraction into improper fraction

$\frac{7}{3} +x=\frac{37}{6}$

Now simplify to get the value of x

→ $\frac{7}{3} +x=\frac{37}{6}$   [Let this be equation 1]

 $x=\frac{37}{6} -\frac{7}{3}$

 $x=\frac{37-14}{6}$

 $x=\frac{23}{6}$

∴ The other fraction is  $\frac{23}{6}$

Lets make sure that our answer is correct :-

Substitute the other fraction value in equation (1)

$\frac{7}{3} +x=\frac{37}{6}$    This was our equation

$\frac{7}{3} +\frac{23}{6} =\frac{37}{6}$  [as we got the other fraction (x) as $\frac{23}{6}$]

$\frac{14+23}{6} = \frac{37}{6} \\\frac{37}{6} =\frac{37}{6}$

LHS=RHS

Hence the other fraction is $\frac{23}{6}$

I hope you will understand the answer❤❤❤