1/2 divided by 1 1/2
Understand the Problem
The question is asking us to divide the fraction 1/2 by the mixed number 1 1/2. This will involve converting the mixed number into an improper fraction and then performing the division operation.
Answer
\(\frac{1}{3}\)
Answer for screen readers
The final answer is (\frac{1}{3})
Steps to Solve
- Convert the mixed number to an improper fraction
Convert (1 \frac{1}{2}) to an improper fraction. Multiply the whole number by the denominator, then add the numerator.
[ 1 \frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{3}{2} ]
- Rewrite the division as a multiplication by the reciprocal
Rewrite (\frac{1}{2}) divided by (\frac{3}{2}) as multiplication by the reciprocal of (\frac{3}{2}).
[ \frac{1}{2} \div \frac{3}{2} = \frac{1}{2} \times \frac{2}{3} ]
- Multiply the fractions
Multiply the numerators and the denominators.
[ \frac{1 \times 2}{2 \times 3} = \frac{2}{6} ]
Simplify the fraction.
[ \frac{2}{6} = \frac{1}{3} ]
The final answer is (\frac{1}{3})
More Information
When dividing by a fraction, you can multiply by its reciprocal. This simplifies many fraction division problems.
Tips
A common mistake is forgetting to convert the mixed number to an improper fraction before performing the division. Always ensure to convert mixed numbers first.
AI-generated content may contain errors. Please verify critical information
