What is the difference of 7/8−1/3 ? (1 point) Responses 1/3 2/4 1/3 2/4 8/1 1/8 1/1 6/5 6/5 6/8

1 answer

To find the difference of \( \frac{7}{8} - \frac{1}{3} \), we first need to find a common denominator. The least common multiple of 8 and 3 is 24.

Convert \( \frac{7}{8} \) to a fraction with a denominator of 24:

\[ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} \]

Next, convert \( \frac{1}{3} \) to a fraction with a denominator of 24:

\[ \frac{1}{3} = \frac{1 \times 8}{3 \times 8} = \frac{8}{24} \]

Now, we can subtract the two fractions:

\[ \frac{21}{24} - \frac{8}{24} = \frac{21 - 8}{24} = \frac{13}{24} \]

Thus, the difference \( \frac{7}{8} - \frac{1}{3} = \frac{13}{24} \).

Since \( \frac{13}{24} \) is not among the response options provided, it appears the options may not be correct representations of the calculated difference.

However, to answer the question based on the computation:

The difference is \( \frac{13}{24} \).