Answer:
[tex]\mathsf{\: \frac{24}{35} }[/tex]
Step-by-step explanation:
Given the addition of two unlike fractions, [tex]\mathsf{\frac{2}{5} \: +\:\frac{2}{7} }[/tex] :
We could only add those two fractions if they have the same denominator.
In order to do so, we must determine their least common denominator (LCD), which happens to be 35.
Next, perform the following mathematical operations:
[tex](\mathsf{\frac{2}{5} \:\times\frac{7}{7}}) + (\mathsf{\frac{2}{7} \:\times\frac{5}{5}})[/tex] = [tex]\mathsf{\frac{14}{35} \:+ \:\frac{10}{35}}[/tex] = [tex]\mathsf{\: \frac{24}{35} }[/tex]
Therefore, the correct answer is Option 3: [tex]\mathsf{\: \frac{24}{35} }[/tex].
