Let's solve this step-by-step, considering the three different expressions provided.
### Step 1: Simplify Each Fraction Expression
#### Expression 1
For the first fraction:
[tex]\[
\frac{4}{32} \cdot \frac{47}{72} \cdot 1
\][/tex]
We simply multiply the fractions:
[tex]\[
= \frac{4 \cdot 47}{32 \cdot 72}
\][/tex]
Here, the final result is:
[tex]\[
0.08159722222222222
\][/tex]
#### Expression 2
For the second fraction:
[tex]\[
\frac{40}{72} \cdot 1
\][/tex]
We have:
[tex]\[
\frac{40}{72} = \frac{5}{9}
\][/tex]
And multiplying by 1, we get:
[tex]\[
= \frac{5}{9}
\][/tex]
The result is:
[tex]\[
0.5555555555555556
\][/tex]
#### Expression 3
For the third fraction:
[tex]\[
\frac{57}{72} \cdot 1
\][/tex]
We have:
[tex]\[
\frac{57}{72} = \frac{19}{24}
\][/tex]
And multiplying by 1, we get:
[tex]\[
= \frac{19}{24}
\][/tex]
The result is:
[tex]\[
0.7916666666666666
\][/tex]
### Summarized Results
So, evaluating the given expressions:
1. [tex]\(\frac{4}{32} \cdot \frac{47}{72} \cdot 1 \approx 0.08159722222222222\)[/tex]
2. [tex]\(\frac{40}{72} \cdot 1 \approx 0.5555555555555556\)[/tex]
3. [tex]\(\frac{57}{72} \cdot 1 \approx 0.7916666666666666\)[/tex]
These are the steps and their corresponding results. Please let me know if you need further details or explanations!
