Add the fractions $\frac { 2 } { 12 } + \frac { 9 } { 12 }$ and write the result in simplest form.
A) $\frac { 1 } { 8 }$
B) $\frac { 11 } { 24 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 11 } { 12 }$
E) $\frac { 3 } { 2 }$

Question

Quizplus · Accepted Answer

To add these fractions, we need a common denominator, which in this case is 12. We can see that the second fraction already has a denominator of 12, but the first fraction has a denominator of 6. We can rewrite the first fraction with a denominator of 12 by multiplying both the numerator and denominator by 2: $$\frac{2}{12}+\frac{9}{12}=\frac{2\cdot2}{12\cdot2}+\frac{9}{12}=\frac{4}{24}+\frac{9}{12}$$ Now we have a common denominator, so we can add the fractions: $$\frac{4}{24}+\frac{9}{12}=\frac{4+18}{24}=\frac{22}{24}$$ Finally, we can simplify by dividing both the numerator and denominator by their greatest common factor, which is 2: $$\frac{22}{24}=\frac{11}{12}$$ Therefore, the answer is D.

Add the Fractions 212+912\frac { 2 } { 12 } + \frac { 9 } { 12 }122​+129​

Add the Fractions $\frac { 2 } { 12 } + \frac { 9 } { 12 }$