Question

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

Explanation:

Step1: Convert division to multiplication

To divide by a fraction, multiply by its reciprocal. So, $\frac{2}{3} \div \frac{10}{11} = \frac{2}{3} \times \frac{11}{10}$.

Step2: Cross - cancel

We look for common factors between the numerators and denominators. The numerator 2 and denominator 10 have a common factor of 2. Divide 2 by 2 to get 1, and divide 10 by 2 to get 5. Now the expression becomes $\frac{1}{3} \times \frac{11}{5}$.

Step3: Multiply the fractions

Multiply the numerators: $1\times11 = 11$. Multiply the denominators: $3\times5=15$. So the fraction is $\frac{11}{15}$.

Answer:

11