Question

Find the difference: 3/4 − 2/6

(1 point)
Responses

5/12
1/2


5/10


1/12

Answer 1

To find the difference \( \frac{3}{4} - \frac{2}{6} \), we first need to have a common denominator.

The denominators are 4 and 6. The least common multiple (LCM) of 4 and 6 is 12.

Next, we convert each fraction to have the denominator of 12:

1. For \( \frac{3}{4} \):
\[
\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
\]

2. For \( \frac{2}{6} \):
\[
\frac{2}{6} = \frac{2 \times 2}{6 \times 2} = \frac{4}{12}
\]

Now we can subtract the two fractions:
\[
\frac{9}{12} - \frac{4}{12} = \frac{9 - 4}{12} = \frac{5}{12}
\]

Thus, the difference is \( \frac{5}{12} \).

The correct response is \( \frac{5}{12} \).