Final answer:
The division of 3.1/5 by 1/2 is performed by converting 3.1/5 to an improper fraction (16/5) and then multiplying by the reciprocal of 1/2 (2/1), which gives the answer 32/5 or 2/1.55 (option c).
Step-by-step explanation:
The question asks us to divide two fractions: 3.1/5 divided by 1/2.
To perform this division, we first need to convert the mixed number to an improper fraction and then multiply by the reciprocal of the division fraction.
So, we start by converting 3.1/5 to an improper fraction:
Multiply the whole number (3) by the denominator of the fraction (5): 3 × 5 = 15.
Add the numerator of the fractional part (1) to this result: 15 + 1 = 16.
This gives us the improper fraction 16/5.
Now, we multiply 16/5 by the reciprocal of 1/2, which is 2/1:
16/5 × 2/1 = 32/5
To find the correct answer from the given options, we simplify 32/5, if possible:
32/5 is already in simplest form, and it corresponds to the answer 2/1.55 (option c).