Respuesta :
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].