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Write [tex]$\frac{24}{16}$[/tex] in lowest terms. Express your answer as an improper fraction.

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To write [tex]\( \frac{24}{16} \)[/tex] in lowest terms, follow these steps:

1. Determine the Greatest Common Divisor (GCD):
First, find the greatest common divisor of the numerator (24) and the denominator (16). The GCD is the largest number that evenly divides both 24 and 16.

After finding the GCD, we see that the greatest common divisor of 24 and 16 is 8.

2. Simplify the Fraction:
Next, divide both the numerator and denominator by the GCD:
- Numerator: [tex]\( \frac{24}{8} = 3 \)[/tex]
- Denominator: [tex]\( \frac{16}{8} = 2 \)[/tex]

3. Write the Simplified Fraction:
Therefore, the fraction [tex]\( \frac{24}{16} \)[/tex] simplified in lowest terms is [tex]\( \frac{3}{2} \)[/tex].

So, [tex]\( \frac{24}{16} \)[/tex] in lowest terms, expressed as an improper fraction, is [tex]\( \frac{3}{2} \)[/tex].
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