standard_description: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
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.


aligns: no