Final answer:
When dividing 1/8 by 3/4, the method of inverting and multiplying is used. After flipping and multiplying, the fraction 1/8 by the reciprocal of 3/4 (which is 4/3), the result is 1/6.
The correct answer is A.
Step-by-step explanation:
To divide the fraction 1/8 by 3/4, we use the method of inverting and multiplying. Inverting means to flip the second fraction (the divisor) to find its reciprocal, and then we multiply the first fraction by this reciprocal. So, taking the reciprocal of 3/4, we get 4/3. Now, we multiply 1/8 by 4/3.
Multiplication of fractions involves multiplying the numerators (top numbers) and multiplying the denominators (bottom numbers). We perform the multiplication as follows:
1/8 * 4/3 = (1*4) / (8*3) = 4 / 24
Simplifying the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 4, we get:
4 / 24 = 1 / 6
Therefore, the result of dividing 1/8 by 3/4 is 1/6, which corresponds to choice (a).