Answer: 15/7.
Explanation:
To multiply the mixed number 4 2/7 by the fraction 1/2, you can follow these steps:
1. Convert the mixed number to an improper fraction.
4 2/7 can be written as (4 * 7 + 2)/7 = 30/7.
2. Multiply the numerator of the fraction by the numerator of the mixed number:
(30/7) * 1 = 30/7.
3. Multiply the denominators of the fraction and the mixed number:
7 * 2 = 14.
4. Write the result as a fraction:
30/7 * 1/2 = 30/14.
5. Simplify the fraction, if possible:
The greatest common divisor (GCD) of 30 and 14 is 2.
Dividing both the numerator and denominator by 2:
30/14 = 15/7.
Therefore, 4 2/7 multiplied by 1/2 equals 15/7.