Final answer:
The product of the fractions (1/6), (6/7), and (1/4) is 6/168, which simplifies to 1/28.
Step-by-step explanation:
The question asks for the product of the fractions (1/6), (6/7), and (1/4). To find the product of these fractions, you multiply the numerators together and the denominators together. In this case, you would multiply 1 * 6 * 1 for the numerators and 6 * 7 * 4 for the denominators, which gives:
- Numerator: 1 * 6 * 1 = 6
- Denominator: 6 * 7 * 4 = 168
So, the product of the fractions is 6/168. However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6:
- Simplified Numerator: 6 / 6 = 1
- Simplified Denominator: 168 / 6 = 28
The simplified fraction is therefore 1/28.