Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this fraction division problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Recall the rule for dividing fractions
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Step 3:: Write the problem in division form
\frac{2}{3} \div \frac{4}{5}
Step 4:: Rewrite as multiplication by the reciprocal
This is equivalent to multiplying $$\frac{2}{3}$$ by $$\frac{5}{4}
Step 5:: Multiply the numerators and denominators
\frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4}
Step 6:: Simplify the multiplication
\frac{10}{12}
Step 7:: Reduce the fraction to lowest terms
\frac{10 \div 2}{12 \div 2} = \frac{5}{6}
Final Answer
Key Insights: - Dividing fractions is the same as multiplying by the reciprocal - Always multiply numerators together and denominators together - Simplify the resulting fraction if possible
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students