write the fraction \\frac{72}{27} in simplest form.

write the fraction \\frac{72}{27} in simplest form.

write the fraction \\frac{72}{27} in simplest form.

Answer

Explanation:

Step1: Find the greatest common divisor (GCD) of 72 and 27

Prime - factorize 72: (72 = 2\times2\times2\times3\times3) Prime - factorize 27: (27=3\times3\times3) The common factors are (3\times3 = 9), so (GCD(72,27)=9)

Step2: Divide both the numerator and the denominator by the GCD

(\frac{72\div9}{27\div9}=\frac{8}{3})

Answer:

(\frac{8}{3})