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Answer :
Of course! Let's look at the problem step-by-step to determine which steel beam has a smaller thickness.
We need to compare the thickness of two steel beams:
1. The first steel beam has a thickness of [tex]\(\frac{5}{8}\)[/tex] inch.
2. The second steel beam has a thickness of [tex]\(\frac{18}{24}\)[/tex] inch.
To compare these two fractions, it's helpful to either convert them to decimals or find a common denominator.
### Step 1: Convert fractions to decimals
1. For the first steel beam:
[tex]\[
\frac{5}{8} = 0.625
\][/tex]
2. For the second steel beam:
[tex]\[
\frac{18}{24} = 0.75
\][/tex]
### Step 2: Compare the decimals
Now we have:
- Thickness of the first steel beam: 0.625 inches
- Thickness of the second steel beam: 0.75 inches
### Step 3: Determine which beam has a smaller thickness
Since [tex]\(0.625\)[/tex] is less than [tex]\(0.75\)[/tex], the first steel beam with a thickness of [tex]\(\frac{5}{8}\)[/tex] inch is thinner than the second steel beam with a thickness of [tex]\(\frac{18}{24}\)[/tex] inch.
### Conclusion
The steel beam with [tex]\(\frac{5}{8}\)[/tex] inch of thickness has a smaller thickness compared to the one with [tex]\(\frac{18}{24}\)[/tex] inch of thickness. Thus, the first steel beam has a lesser thickness.
We need to compare the thickness of two steel beams:
1. The first steel beam has a thickness of [tex]\(\frac{5}{8}\)[/tex] inch.
2. The second steel beam has a thickness of [tex]\(\frac{18}{24}\)[/tex] inch.
To compare these two fractions, it's helpful to either convert them to decimals or find a common denominator.
### Step 1: Convert fractions to decimals
1. For the first steel beam:
[tex]\[
\frac{5}{8} = 0.625
\][/tex]
2. For the second steel beam:
[tex]\[
\frac{18}{24} = 0.75
\][/tex]
### Step 2: Compare the decimals
Now we have:
- Thickness of the first steel beam: 0.625 inches
- Thickness of the second steel beam: 0.75 inches
### Step 3: Determine which beam has a smaller thickness
Since [tex]\(0.625\)[/tex] is less than [tex]\(0.75\)[/tex], the first steel beam with a thickness of [tex]\(\frac{5}{8}\)[/tex] inch is thinner than the second steel beam with a thickness of [tex]\(\frac{18}{24}\)[/tex] inch.
### Conclusion
The steel beam with [tex]\(\frac{5}{8}\)[/tex] inch of thickness has a smaller thickness compared to the one with [tex]\(\frac{18}{24}\)[/tex] inch of thickness. Thus, the first steel beam has a lesser thickness.
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