Final answer:
5 1/2 divided by 1/8 is solved by converting 5 1/2 to an improper fraction (11/2), then multiplying by the reciprocal of 1/8 (8/1), resulting in 88/2, which simplifies to 44.
Step-by-step explanation:
The question asks about dividing mixed numbers by fractions, which is a mathematical operation. To solve for 5 1/2 divided by 1/8, we should first convert the mixed number to an improper fraction:
- Multiply the denominator of the fraction part by the whole number and add the numerator: (2*5)+1 = 11
- Place that sum over the original denominator to get the improper fraction: 11/2
Now, when dividing by a fraction, we multiply by the reciprocal of that fraction, so:
- Take the reciprocal of 1/8, which is 8/1.
- Multiply 11/2 by 8/1 to get the answer.
11/2 * 8/1 = 88/2 which simplifies to 44.
Therefore, the answer is 44, corresponding to option (c).