Question

Find the LCM and HCF of 25/6 and 15/4​

Answer 1

Answer:

u can do it easily , run your brain

Answer 2

The LCM and HCF of 25/6 and 15/4 is $\frac{75}{2}$ and $\frac{5}{12}$

Given

The fractions 25/6 and 15/4

To find

LCM and HCF

Solution

The LCM is the least common factor and HCF is the highest common factor

The LCM of a fraction can be found out by, $\frac{LCM of numerators}{HCF of denominators}$

Likewise, the HCF of a fraction can be found out by, $\frac{HCF of numerators}{LCM of denominators}$

The numerators in the given fractions are 25 and 15

6 and 4 are the denominators of the given fraction

Therefore LCM of the fractions is $\frac{LCM (25,15)}{HCF(6,4)}$  

The LCM of 25 and 15 = 75 (5×5×3)and the HCF of 6 and 4 = 2(1×2)

Therefore the LCM is $\frac{75}{2}$

The HCF of the fraction is $\frac{HCF (25,15)}{LCM(6,4)}$

The HCF of 25 and 15 = 5 and LCM of 6 and 4 = 12 (2×3×2)

Therefore the HCF is $\frac{5}{12}$

Hence the LCM and HCF of the fractions 25/6 and 15/4 is $\frac{75}{2}$ and $\frac{5}{12}$