Question

1/4 + 3/2

Answer 1

To add the fractions \( \frac{1}{4} \) and \( \frac{3}{2} \), we first need a common denominator. The least common denominator (LCD) for 4 and 2 is 4.

Next, we convert \( \frac{3}{2} \) to have a denominator of 4:

\[
\frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4}
\]

Now we can add the fractions:

\[
\frac{1}{4} + \frac{6}{4} = \frac{1 + 6}{4} = \frac{7}{4}
\]

Thus,

\[
\frac{1}{4} + \frac{3}{2} = \frac{7}{4}
\]

This can also be written as a mixed number:

\[
1 \frac{3}{4}
\]

So the final answer is \( \frac{7}{4} \) or \( 1 \frac{3}{4} \).