Subtract, answer as a fraction in simplest form.

6/7 - 1/2
[__]/[__]

1 answer

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:

\[ [5]/[14] \]