47:76+7/6

To solve this mathematical expression, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, and Addition and Subtraction - from left to right).

Let's break down the expression step by step:

1. First, divide 7 by 6: 7/6 = 1.16667 (rounded to 5 decimal places).

2. Now, add 47 and the result from step 1: 47 + 1.16667 = 48.16667 (rounded to 5 decimal places).

Therefore, 47:76 + 7/6 is approximately equal to 48.16667.