Question

what fraction should be added in 1/2+2/3 to get 7/2 ?​

Answer 1

Answer:

7/3

Step-by-step explanation:

Let the fraction be x

1/2 + 2/3 + x = 7/2

(3+4)/6 + x = 7/2

x = 7/2 - 7/6

x = 21 - 7/6

x = 14/6

x = 7/3

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Answer 2

Question:

what fraction should be added in $\frac{1}{2}+ \frac{2}{3}$ to get $\frac{7}{2}$?​

What to find:

$\to$The fraction

Solution:

Let,The fraction be  $\frac{x}{1}$

Now,Solving the formed equation:

$\to$$\frac{1}{2} +\frac{2}{3} +\frac{x}{1} =\frac{7}{2}$

$\to or,\frac{3+4+6x}{6} =\frac{7}{2}$

$\to or,\frac{7}{6} +\frac{6x}{6} =\frac{7}{2}$

$\to or,\frac{6x}{6} =\frac{7}{2} -\frac{7}{6}$

$\to or,\frac{6x}{6} =\frac{21-7}{6}$

$\to or,\frac{6x}{6} =\frac{14}{6}$

$\to or,6x*6=14*6$

$\to or,x=\frac{14*6}{6*6}$

$\to or,x=\frac{7}{3}$

Answer:

The fraction that should be added to $\frac{1}{2}+ \frac{2}{3}$ to get  $\frac{7}{2}$ = $\frac{7}{3}$