Question

Which values of a, b, and c represent the answer in simplest form?

9 / 11 divided 5 / 11 = A B/C
a)a = 1, b = 99, c = 55
b)a = 1, b = 55, c = 99
c)a = 1, b = 4, c = 5
d)a = 1, b = 5, c = 4

Answer 1

The division of 9/11 by 5/11 results in 9/5, which as a mixed number is 1 4/5, matching option (d) with values of a = 1, b = 5, and c = 4.

Step-by-step explanation:

The correct answer is option (d) a = 1, b = 5, c = 4. The problem 9 / 11 divided by 5 / 11 is solved by multiplying 9 / 11 by the reciprocal of 5 / 11, which is 11 / 5. After multiplication, we get (9/11) * (11/5) = 9/5. To express this improper fraction as a mixed number, we divide the numerator by the denominator. Since 9 divided by 5 is 1 with a remainder of 4, we can express this as 1 4/5. Therefore, the mixed number with a whole number of 1, a numerator of 4, and a denominator of 5 corresponds to option (d).

To find the answer in simplest form, we need to divide the fractions. The given expression is 9/11 divided by 5/11.

When we divide two fractions with the same denominator, we can simply divide the numerators. In this case, 9 divided by 5 is 1 and the denominator remains the same (11). So, the answer is 1/11.

Option b) represents the answer in simplest form because a = 1, b = 55, and c = 99.