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------------------------------------------------ Write the following mixed decimal as a mixed number and reduce to the lowest terms: 157.43

Select one of the following:

A. [tex]157 \frac{43}{100}[/tex]

B. [tex]158 \frac{45}{100}[/tex]

C. [tex]156 \frac{42}{100}[/tex]

D. [tex]157 \frac{44}{100}[/tex]

Alright, let's convert the mixed decimal 157.43 into a mixed number and reduce it to the lowest terms.

### Step-by-Step Solution:

1. Separate the Mixed Decimal:
- The integer part of the mixed decimal is 157.
- The decimal part of the mixed decimal is 0.43.

2. Convert the Decimal Part to a Fraction:
- We need to convert 0.43 into a fraction. Since 0.43 = [tex]\(\frac{43}{100}\)[/tex], it is already in fractional form.

3. Form the Mixed Number:
- Combine the integer part and the fractional part to create the mixed number. This gives us [tex]\(157 \frac{43}{100}\)[/tex].

4. Reduce the Fraction to Lowest Terms:
- The fraction [tex]\(\frac{43}{100}\)[/tex] is already in its simplest form since 43 is a prime number and doesn't have any common factors with 100 other than 1.

Thus, the mixed number in its lowest terms is [tex]\(157 \frac{43}{100}\)[/tex].

### Selecting the Correct Option:
Comparing the mixed number we formed with the provided options:

- [tex]\(158 \frac{45}{100}\)[/tex] is not the correct option.
- [tex]\(157 \frac{43}{100}\)[/tex] matches exactly with our result.
- [tex]\(156 \frac{42}{100}\)[/tex] is not the correct option.
- [tex]\(157 \frac{44}{100}\)[/tex] is not the correct option.

Therefore, the correct answer is [tex]\(157 \frac{43}{100}\)[/tex], which is the second option. Hence, the correct answer is:

[tex]\[
\boxed{2}
\][/tex]