High School

What is the simplified form of the fraction below?

[tex]\frac{24}{30}[/tex]

A. [tex]\frac{2}{3}[/tex]
B. [tex]\frac{4}{5}[/tex]
C. [tex]\frac{5}{6}[/tex]
D. [tex]\frac{3}{4}[/tex]

Answer :

To simplify the fraction
[tex]$$\frac{24}{30},$$[/tex]
we first find the greatest common divisor (GCD) of 24 and 30. The GCD of 24 and 30 is [tex]$6$[/tex].

Next, we divide both the numerator and the denominator by [tex]$6$[/tex]:
[tex]$$\frac{24 \div 6}{30 \div 6} = \frac{4}{5}.$$[/tex]

Thus, the simplified form of the fraction is
[tex]$$\frac{4}{5},$$[/tex]
which corresponds to option B.