Question

find h.c.f.and l.c.m. of 4/5,3/10,7/15

Answer 1

Heya !!

Here is your Answer.

Given :
4/5, 3/10 and 7/15.

Let us first find the LCM..
LCM of Fractions
= LCM(Numerator)/HCF(Denominator)

and,
HCF of Fractions
= HCF(Numerators)/LCM(Denominators)

Using above idea...

LCM (4/5, 3/10, 7/15)
= LCM(4, 3, 7)/HCF(5, 10, 15)
= 84/5

HCF (4/5, 3/10, 7/15)
= HCF(4, 3, 7)/LCM(5, 10, 15)
= 1/30

Hope It Helps

Answer 2

Answer:

LCM of  $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$  = $\frac{84}{5}$

HCF of $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$ = $\frac{1}{30}$

Step-by-step explanation:

Given,

Three fractions  $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$

To find,

LCM of   $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$ and HCF of   $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$

Recall the concepts

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

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

Solution:

Numerators are 4,3, 7

Denominators are 5,10,15

LCM of the numerators 4 × 3 × 7 = 84

HCF of the numerators = 1

LCM of the denominators = 5 × 2× 3 = 30

HCF of the denominators = 5

LCM of  $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$  = $\frac{LCM \ of \ numerators}{HCF \ of\ denominators}$ = $\frac{84}{5}$

HCF of $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$ = $\frac{HCF \ of \ numerators}{LCM \ of\ denominators}$ = $\frac{1}{30}$

∴ LCM of  $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$  = $\frac{84}{5}$

HCF of $\frac{4}{5} , \frac{3}{10} , \frac{7}{15}$ = $\frac{1}{30}$

#SPJ2