Solve Mixed Number Expression: Converting 2 54/900 to Decimal Form

To solve this problem, we'll go through the following steps:

• Step 1: Simplify the fraction $\frac{54}{900}$.
• Step 2: Convert the simplified fraction to a decimal.
• Step 3: Add the decimal to the integer part of the mixed number.

Let's proceed with the solution:

Step 1: Simplify the fraction $\frac{54}{900}$.

To simplify, find the greatest common divisor (GCD) of 54 and 900. Here, $\text{GCD}(54, 900) = 18$. Therefore, we can divide both the numerator and the denominator by 18: $\frac{54}{900} = \frac{54 \div 18}{900 \div 18} = \frac{3}{50}$

Step 2: Convert $\frac{3}{50}$ to a decimal.

To do this, recognize that $\frac{3}{50}$ can be converted by first transforming the denominator 50 into 100, common for decimal representation: $\frac{3}{50} = \frac{3 \times 2}{50 \times 2} = \frac{6}{100} = 0.06$

Step 3: Add the decimal to the whole number.

Now add the decimal $0.06$ to the whole number $2$: $2 + 0.06 = 2.06$

Therefore, the conversion of the mixed fraction $2\frac{54}{900}$ to a decimal is $\mathbf{2.06}$.