Question

Subtract, answer as a fraction in simplest form.
6/7 - 1/2
[__]/[__]

Answer 1

To subtract the fractions \( \frac{6}{7} - \frac{1}{2} \), we first need to find a common denominator for the fractions.

The denominators are \( 7 \) and \( 2 \). The least common multiple (LCM) of \( 7 \) and \( 2 \) is \( 14 \).

Next, we convert each fraction to have a denominator of \( 14 \):

1. For \( \frac{6}{7} \):
\[
\frac{6}{7} = \frac{6 \times 2}{7 \times 2} = \frac{12}{14}
\]

2. For \( \frac{1}{2} \):
\[
\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}
\]

Now we can subtract the fractions:

\[
\frac{12}{14} - \frac{7}{14} = \frac{12 - 7}{14} = \frac{5}{14}
\]

The result is \( \frac{5}{14} \).

So the answer in the requested form is:

\[
[5]/[14]
\]