Respuesta :

Answer: 2/5

Step-by-step explanation:

14:7=2

35:7=5

14/35= 2/5

Answer:

The lowest form of [tex]\frac{14}{35}[/tex] is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

The given rational number is [tex]\frac{14}{35}[/tex].

At first, we will find the HCF of 14 and 35 and then divide the numerator and denominator by the HCF of 14 and 35 to evaluate the lowest form of [tex]\frac{14}{35}[/tex].

The prime factorisation of 14 and 35 is,

14 = 2 × 7

35 = 5 × 7

Since, prime factor '7' is common in the prime factorisation of 14 and 35, so the HCF of 14 and 35 is 7.

[tex]\frac{14}{35}=\frac{\frac{14}{7} }{\frac{35}{7}}=\frac{2}{5}[/tex]

So, the lowest form of [tex]\frac{14}{35}[/tex] is [tex]\frac{2}{5}[/tex].