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Answer :
To simplify the fraction
[tex]$$\frac{24}{30},$$[/tex]
we first look for the greatest common divisor (GCD) of the numerator and denominator.
1. Determine that the GCD of [tex]$24$[/tex] and [tex]$30$[/tex] is [tex]$6$[/tex].
2. Divide both the numerator and the denominator by [tex]$6$[/tex]:
[tex]$$24 \div 6 = 4,$$[/tex]
[tex]$$30 \div 6 = 5.$$[/tex]
3. Thus, the fraction simplifies to:
[tex]$$\frac{24}{30} = \frac{4}{5}.$$[/tex]
The simplest form of the fraction is [tex]$\frac{4}{5}$[/tex], which corresponds to option D.
[tex]$$\frac{24}{30},$$[/tex]
we first look for the greatest common divisor (GCD) of the numerator and denominator.
1. Determine that the GCD of [tex]$24$[/tex] and [tex]$30$[/tex] is [tex]$6$[/tex].
2. Divide both the numerator and the denominator by [tex]$6$[/tex]:
[tex]$$24 \div 6 = 4,$$[/tex]
[tex]$$30 \div 6 = 5.$$[/tex]
3. Thus, the fraction simplifies to:
[tex]$$\frac{24}{30} = \frac{4}{5}.$$[/tex]
The simplest form of the fraction is [tex]$\frac{4}{5}$[/tex], which corresponds to option D.
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