Divide. Write your answer in simplest form.

Question

11/14 Divided by 5/6

Answer 1

To divide fractions, you multiply by the reciprocal of the second fraction. Therefore, dividing \( \frac{11}{14} \) by \( \frac{5}{6} \) can be expressed as:

\[ \frac{11}{14} \div \frac{5}{6} = \frac{11}{14} \times \frac{6}{5} \]

Now multiply the numerators and the denominators:

\[ = \frac{11 \times 6}{14 \times 5} = \frac{66}{70} \]

Next, we simplify \( \frac{66}{70} \) by finding the greatest common divisor (GCD) of 66 and 70. The GCD is 2.

Now divide both the numerator and the denominator by their GCD:

\[ \frac{66 \div 2}{70 \div 2} = \frac{33}{35} \]

Thus, the answer in simplest form is:

\[ \frac{33}{35} \]