Solve and choose appropriate answer in simplest form to fill in the blanks:
$\frac{1}{12} + \frac{9}{12} =___$
[ $\frac{10}{12}$ / $\frac{5}{6}$ ]

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Solution

Step 1: As these are the like fractions, add the numerators and write the sum over the common denominator.
$\frac{1}{12} + \frac{9}{12} = \frac{1 + 9}{12} = \frac{10}{12}$
Step 2: It can be observed that $2$ is the common factor of $10$ and $12$ . Divide the numerator and denominator by the common factor $2$ .
$\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$
Now, there is no common factor of $5$ and $6$ other than $1$ . Hence, the simplest form of $\frac{10}{12}$ is $\frac{5}{6}$ .

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