Add the fractions $\frac { 3 } { 6 } + \frac { 2 } { 8 }$ and write the result in simplest form.
A) $\frac { 5 } { 14 }$
B) $\frac { 5 } { 6 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 1 } { 8 }$
E) $\frac { 5 } { 48 }$

Question

Quizplus · Accepted Answer

To add these fractions, we need to find a common denominator. The least common multiple of 6 and 8 is 24, so we can rewrite the fractions with denominators of 24:

$$\frac{3}{6} + \frac{2}{8} = \frac{3 	imes 4}{6 	imes 4} + \frac{2 	imes 3}{8 	imes 3} = \frac{12}{24} + \frac{6}{24}$$

Now we can add the numerators:

$$\frac{12}{24} + \frac{6}{24} = \frac{18}{24}$$

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 6:

$$\frac{18}{24} = \frac{3}{4}$$

So the final answer is $\boxed{	extbf{(C)}\ \frac34}$.

Add the Fractions 36+28\frac { 3 } { 6 } + \frac { 2 } { 8 }63​+82​

Add the Fractions $\frac { 3 } { 6 } + \frac { 2 } { 8 }$