Question

The LCM and HCF of 3/5,4/7 and 2/9 are​

Answer 1

Answer:

Step-by-step explanation:

Answer :  

Explanation-

Given :

Numerators = 2, 3, 4 and 7

LCM of Numerators = 36

Denominators = 3, 5, 7 and 13

HCF of Denominators = 1

Hence:

Answer 2

Given: Three fractions $\frac{3}{5}, \frac{4}{7} \ and \ \frac{2}{9}$

To find: The LCM and HCF of given fractions

Solution:

∵ LCM of fractions = $\frac{LCM \ of \ numerators}{HCF \ of \ denominators}$

and HCF of fractions = $\frac{HCF \ of \ numerators}{LCM \ of \ denominators}$

The given fractions are $\frac{3}{5}, \frac{4}{7} \ and \ \frac{2}{9}$

Numerators are 3, 4 and 2

Denominators are 5, 7 and 9

∵ LCM of numerators (3, 4 and 2) = 12

∵ HCF of numerators = 1

∵ LCM of denominators (5, 7 and 9) = 315

∵ HCF of denominators = 1

Therefore,

LCM of fractions = $\frac{LCM \ of \ numerators}{HCF \ of \ denominators}$ = $\frac{12}{1} = 12$

HCF of fractions = $\frac{HCF \ of \ numerators}{LCM \ of \ denominators}$ = $\frac{1}{315}$

Hence LCM and HCF of given fractions are 12 and  $\frac{1}{315}$ respectively.