Question

What is 5/6 -3/8 Choose your answer in the most simplified form

1/3
9/16
1/12
11/24

Answer 1

To subtract the fractions \( \frac{5}{6} - \frac{3}{8} \), we need to find a common denominator. The least common multiple of 6 and 8 is 24.

Next, we convert each fraction:

1. Convert \( \frac{5}{6} \) to have a denominator of 24:
\[
\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24}
\]

2. Convert \( \frac{3}{8} \) to have a denominator of 24:
\[
\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
\]

Now we can subtract:
\[
\frac{20}{24} - \frac{9}{24} = \frac{20 - 9}{24} = \frac{11}{24}
\]

The answer in the most simplified form is:
\[
\boxed{\frac{11}{24}}
\]