Question

divide. use the cross - cancel strategy to simplify the problem. \\(\frac{2}{3} \div \frac{10}{11}\\) \\(\frac{11}{?}\\) answer as a fraction in simplest form. enter the denominator.

Explanation:

Step1: Recall fraction division rule

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, $\frac{2}{3} \div \frac{10}{11} = \frac{2}{3} \times \frac{11}{10}$.

Step2: Cross - cancel (simplify)

We can simplify the fractions before multiplying. The numerator of the first fraction is 2 and the denominator of the second fraction is 10. The greatest common divisor of 2 and 10 is 2. So, we divide 2 by 2 (which gives 1) and 10 by 2 (which gives 5). Now our expression becomes $\frac{1}{3} \times \frac{11}{5}$.

Step3: Multiply the fractions

When multiplying fractions, we multiply the numerators together and the denominators together. So, $\frac{1\times11}{3\times5}=\frac{11}{15}$.

Answer:

15