options: Use properties of rational and irrational numbers.

Perform operations on matrices and use matrices in applications.

Perform arithmetic operations with complex numbers.

Extend the properties of exponents to rational exponents.

Represent and model with vector quantities.

Perform operations on vectors.

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

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.

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

Represent complex numbers and their operations on the complex plane.

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

Reason quantitatively and use units to solve problems.

Compute fluently with multi-digit numbers and find common factors and multiples.
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: 6