Solve and choose appropriate answer in simplest form to fill in the blanks:
$\frac{8}{15} - \frac{2}{15} =___$
[ $\frac{6}{15}$ / $\frac{2}{5}$ ]

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Solution

Step 1: As these are the like fractions, subtract the numerators and write the difference over the common denominator.
$\frac{8}{15} - \frac{2}{15} = \frac{8 - 2}{15} = \frac{6}{15}$
Step 2: It can be observed that $3$ is the common factor of $6$ and $15$ . Divide the numerator and denominator by the common factor $3$ .
$\frac{6 \div 3}{15 \div 3} = \frac{2}{5}$
Now, there is no common factor of $2$ and $5$ other than $1$ . Hence, the simplest form of $\frac{6}{15}$ is $\frac{2}{5}$ .
Note: The question is wrong in the book. The second option is $\frac{3}{5}$ . It should be $\frac{2}{5}$ .

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