Question

Evaluate.

12⋅ (1/4+1/3)^2+2/3

Answer 1

4 2/3

Explanation:

fv

Answer 2

`(145)/(144)`

Explanation:

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

`\left ( (1)/(4)+(1)/(3)\right)^2+(2)/(3)\\=\left ( (1)/(4)* (3)/(3)+(1)/(3)* (4)/(4)\right)^2+(2)/(3)\\\\=\left ( (3)/(12)+(4)/(12)\right)^2+(2)/(3)\\=\left ( (3+4)/(12)\right)^2+(2)/(3)\\\\=\left ( (7)/(12)\right)^2+(2)/(3)\\=(49)/(144)+(2)/(3)* (48)/(48)\\=(49)/(144)+(96)/(144)\\=(145)/(144)`