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]
