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Make an equivalent fraction:
[tex]\[ \frac{24}{54} = \frac{9}{?} \][/tex]


Sagot :

To simplify the fraction [tex]\(\frac{24}{54}\)[/tex], we need to find the greatest common divisor (gcd) of the numerator and the denominator.

1. Identify the numerator and denominator:
[tex]\[ \text{Numerator} = 24, \quad \text{Denominator} = 54 \][/tex]

2. Find the greatest common divisor (gcd):
The gcd of 24 and 54 is 6.

3. Divide the numerator and the denominator by their gcd to simplify the fraction:
[tex]\[ \frac{24 \div 6}{54 \div 6} = \frac{4}{9} \][/tex]

So, the simplified form of the fraction [tex]\(\frac{24}{54}\)[/tex] is [tex]\(\frac{4}{9}\)[/tex].