Question

what fraction can be added to the expression shown below to make the total value equal to one whole?
\\(\frac{2}{12} + \frac{5}{12}\\)
show your work.
answer:
\\(\frac{2}{12} + \frac{5}{12} +\\)

Explanation:

Step1: Add the given fractions

$\frac{2}{12} + \frac{5}{12} = \frac{2+5}{12} = \frac{7}{12}$

Step2: Define unknown fraction as $x$

Let the needed fraction be $x$. Set up equation:
$\frac{7}{12} + x = 1$

Step3: Solve for $x$

$x = 1 - \frac{7}{12} = \frac{12}{12} - \frac{7}{12} = \frac{5}{12}$

Answer:

$\frac{5}{12}$