2/3 : 4/5
Understand the Problem
The question involves mathematical operations with fractions. Specifically, it seems to involve the division of two fractions: 2/3 and 4/5. The goal is likely to simplify or calculate this expression.
Answer
The result of $ \frac{2}{3} : \frac{4}{5} $ is $ \frac{5}{6} $.
Answer for screen readers
The final answer is $ \frac{5}{6} $.
Steps to Solve
- Understand the operation We're dividing two fractions: $ \frac{2}{3} $ and $ \frac{4}{5} $. This can be rewritten as
$$ \frac{2}{3} \div \frac{4}{5} $$
- Convert division to multiplication When dividing by a fraction, you can multiply by its reciprocal. The reciprocal of $ \frac{4}{5} $ is $ \frac{5}{4} $. Therefore, we have:
$$ \frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} $$
- Multiply the fractions Now, multiply the numerators and the denominators:
$$ \frac{2 \times 5}{3 \times 4} = \frac{10}{12} $$
- Simplify the fraction Next, simplify $ \frac{10}{12} $. Both the numerator and denominator can be divided by 2:
$$ \frac{10 \div 2}{12 \div 2} = \frac{5}{6} $$
The final answer is $ \frac{5}{6} $.
More Information
Dividing fractions often confuses students, but remember that dividing by a fraction is the same as multiplying by its reciprocal. Simplifying fractions helps to make calculations easier and results clearer.
Tips
- Forgetting to multiply by the reciprocal when dividing fractions.
- Failing to simplify the final fraction. Always check if the fraction can be reduced.
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