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Make an equivalent fraction:

[tex]\[ \frac{24}{54} = \frac{\_}{\_} \][/tex]

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GinnyAnsweridn
To simplify the fraction [tex]\(\frac{24}{54}\)[/tex] to its simplest form, we need to follow these steps:

1. Identify Common Factors:
- First, we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (54). The GCD is the largest positive integer that divides both numbers without leaving a remainder.

2. Divide by the GCD:
- Once we've identified the GCD, we divide both the numerator and the denominator by this number to simplify the fraction.

Let's go through the steps in detail:

1. Find the GCD:
- We look for the largest number that can divide both 24 and 54 completely.
- The GCD of 24 and 54 is 6.

2. Simplify the Fraction:
- Now, we divide both the numerator and the denominator by their GCD (6).

[tex]\[ \text{Simplified numerator} = \frac{24}{6} = 4 \][/tex]
[tex]\[ \text{Simplified denominator} = \frac{54}{6} = 9 \][/tex]

So, the fraction [tex]\(\frac{24}{54}\)[/tex] simplifies to [tex]\(\frac{4}{9}\)[/tex].

Therefore, the equivalent fraction in its simplest form is [tex]\(\frac{4}{9}\)[/tex].
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