(345:456)+35

To simplify the expression (345:456) + 35, we need to first clarify what "345:456" means.

If we interpret "345:456" as a ratio, it can be expressed as a fraction:

\[ \frac{345}{456} \]

Next, we can simplify this fraction:

1. Find the greatest common divisor (GCD) of 345 and 456. The GCD is 3.
2. Divide both the numerator and the denominator by the GCD:

\[ \frac{345 \div 3}{456 \div 3} = \frac{115}{152} \]

Now, let's convert this back to a decimal to make the addition easier.

\[ \frac{115}{152} \approx 0.7566 \]

Now, we add 35 to this value:

\[ 0.7566 + 35 \approx 35.7566 \]

So, the final result of \((345:456) + 35\) is approximately \(35.7566\).