Question

write each decimal as a fraction in lowest terms.
3.5

Answer 1

To convert the decimal \( 3.5 \) into a fraction, first recognize that \( 3.5 \) can be expressed as:

\[
3.5 = 3 + 0.5
\]

Next, convert \( 0.5 \) into a fraction:

\[
0.5 = \frac{5}{10}
\]

Now, simplify \( \frac{5}{10} \):

\[
\frac{5}{10} = \frac{1}{2}
\]

Now, we can combine \( 3 \) and \( \frac{1}{2} \):

\[
3 + 0.5 = 3 + \frac{1}{2} = \frac{3 \times 2}{2} + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{6 + 1}{2} = \frac{7}{2}
\]

Thus, the decimal \( 3.5 \) as a fraction in lowest terms is:

\[
\frac{7}{2}
\]