what is 10 over 11 divided by 2 over 5?

Answer 1

To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.

So, to divide \( \frac{10}{11} \) by \( \frac{2}{5} \), you can set it up like this:

\[ \frac{10}{11} \div \frac{2}{5} = \frac{10}{11} \times \frac{5}{2} \]

Now, multiply the numerators and the denominators:

\[ \frac{10 \times 5}{11 \times 2} = \frac{50}{22} \]

Next, simplify the fraction. The greatest common divisor of 50 and 22 is 2:

\[ \frac{50 \div 2}{22 \div 2} = \frac{25}{11} \]

Thus, \( \frac{10}{11} \div \frac{2}{5} = \frac{25}{11} \).