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

Question

1/3

9/10

1/12

11/24

Answer 1

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

Now we will convert both fractions to have a denominator of 24:

1. Convert \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \]

2. Convert \( \frac{3}{8} \): \[ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \]

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

Thus, the answer in the most simplified form is \( \frac{11}{24} \).

So, the correct answer is:

11/24