options: Use properties of rational and irrational numbers.

Use complex numbers in polynomial identities and equations.

Apply and extend previous understandings of numbers to the system of rational numbers.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Compute fluently with multi-digit numbers and find common factors and multiples.

Perform operations on matrices and use matrices in applications.

Represent complex numbers and their operations on the complex plane.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Extend the properties of exponents to rational exponents.

Reason quantitatively and use units to solve problems.

Perform arithmetic operations with complex numbers.

Perform operations on vectors.

Represent and model with vector quantities.

Know that there are numbers that are not rational, and approximate them by rational numbers.
problem_activity: Task
Dan observes that $$\frac{6}{10}\div \frac{2}{10} = 6 \div 2$$ He says,
I think that if we are dividing a fraction by a fraction with the same denominator, then we can just divide the numerators.
Is Dan’s conjecture true for all fractions? Explain how you know.


correct_option_index: 3