Question

What is the result of 3/4+5/6
?(1 point)
Responses

8/10
8 tenths

19/12
19 over 12

40/24
40 over 24

15/20

Answer 1

To add the fractions \( \frac{3}{4} \) and \( \frac{5}{6} \), we first need to find a common denominator. The least common multiple (LCM) of 4 and 6 is 12.

Now, we will convert each fraction to have a denominator of 12:

\[
\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
\]

\[
\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}
\]

Now we can add the two fractions:

\[
\frac{9}{12} + \frac{10}{12} = \frac{19}{12}
\]

Thus, the result of \( \frac{3}{4} + \frac{5}{6} \) is \( \frac{19}{12} \).

So the correct response is:

**19/12**
**19 over 12**