Answer :

Sure, let's solve the given expression step by step:

We start with the expression:
[tex]\[ \frac{2.5 \times 13.7}{4.9 + 1.6} \][/tex]

### Step 1: Calculate the numerator
First, we need to determine the value of the numerator:
[tex]\[ 2.5 \times 13.7 \][/tex]
Multiplying these two numbers, we get:
[tex]\[ 34.25 \][/tex]

### Step 2: Calculate the denominator
Next, we find the value of the denominator:
[tex]\[ 4.9 + 1.6 \][/tex]
Adding these two numbers, we get:
[tex]\[ 6.5 \][/tex]

### Step 3: Divide the numerator by the denominator
We now divide the result of the numerator by the result of the denominator:
[tex]\[ \frac{34.25}{6.5} \][/tex]
Performing this division, we find:
[tex]\[ 5.269230769230769 \][/tex]

Therefore, when using a calculator to work out the expression [tex]\(\frac{2.5 \times 13.7}{4.9 + 1.6}\)[/tex], the full display would show:
[tex]\[ 5.269230769230769 \][/tex]