Final answer:
To find 6/11 multiplied by 1&1/2, we convert the mixed number to an improper fraction, multiply the numerators and denominators separately, and simplify the result, which is 9/11.
Step-by-step explanation:
The question asks us to multiply 6/11 by 1&1/2, which is equivalent to 1.5 in decimal form. First, we convert the mixed number to an improper fraction, resulting in 3/2.
The multiplication of two fractions involves multiplying the numerators (top numbers) and the denominators (bottom numbers) separately. Therefore, we have:
- Numerators: 6 times 3 equals 18
- Denominators: 11 times 2 equals 22
The result is the fraction 18/22. To simplify, we divide both the numerator and the denominator by their greatest common divisor, which is 2, yielding the final answer: 9/11.