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b) Una vigueta de acero tiene [tex]\frac{5}{8}[/tex] de pulgada de espesor y otra de [tex]\frac{18}{24}[/tex] de pulgada. ¿Qué vigueta tiene menor espesor?

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.