options: Know that there are numbers that are not rational, and approximate them by rational numbers.

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

Perform operations on vectors.

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

Perform arithmetic operations with complex numbers.

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

Perform operations on matrices and use matrices in applications.

Represent complex numbers and their operations on the complex plane.

Represent and model with vector quantities.

Use properties of rational and irrational numbers.

Extend the properties of exponents to rational exponents.

Reason quantitatively and use units to solve problems.

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

Use complex numbers in polynomial identities and equations.
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: 1