Directions: Find the value of the decimal expression below.

$\frac{7.23-2.56}{0.90}=?$

The correct answer is $5\frac{17}{90}$.

Step-by-Step Explanation:

Step 1: Perform the subtraction in the numerator.
First, evaluate the subtraction given in the top part (numerator) of the fraction:

$7.23-2.56=4.67$

Step 2: Substitute the simplified numerator back into the expression.
Now substitute $4.67$ into the original expression:

$\frac{7.23-2.56}{0.90}=\frac{4.67}{0.90}$

Step 3: Convert the decimal fraction into a whole-number fraction.
To eliminate the decimals, multiply both the numerator and the denominator by 100:

$\frac{4.67\times 100}{0.90\times 100}=\frac{467}{90}$

Step 4: Convert the improper fraction into a mixed fraction.
Divide the numerator 467 by the denominator 90 to find the whole number part and the remainder:

$467÷90=5\text{with a remainder of}17$

Since $5\times 90=450$ and $467-450=17$, we can write the improper fraction as a mixed number:

$\frac{467}{90}=5\frac{17}{90}$