12 2/3 ^ 2 1/3what is 12 2/3 divided by 2 1/3

(12 2/3) / (2 1/3) = 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3) / (2 + 1/3)

Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3*2) / 3 + 1/3:

(12 + 2/3) / ((3*2) / 3 + 1/3)

3*2 = 6:

(12 + 2/3) / (6/3 + 1/3)

6/3 + 1/3 = (6 + 1) / 3:

(12 + 2/3) / ((6 + 1) / 3)

6 + 1 = 7:

(12 + 2/3) / (7/3)

Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3*12) / 3 + 2/3:

((3*12) / 3 + 2/3) / (7/3)

3*12 = 36:

(36/3 + 2/3) / (7/3)

36/3 + 2/3 = (36 + 2) / 3:

((36 + 2) / 3) / (7/3)

36 + 2 = 38:

(38/3) / (7/3)

Multiply the numerator by the reciprocal of the denominator, (38/3) / (7/3) = 38/3*3/7:

(38*3) / (3*7)

(38*3) / (3*7) = 3/3*38/7 = 38/7:

Answer: 38/7