Question

find the HCF and LCM of the following fractions 8/15 , 16/125​

Answer 1

Answer:

8/i5, I6/i25

Hcf of Nr/LCM of Dr.

8/375 is the. HCf (i)

Lcm=LCM of Nr/HCF of Nr

16 / 5 = L cm. (2 )

Answer 2

Answer:

$HCF \ = \frac{8}{375}$

$LCM \ = \frac{16}{5}$

Step-by-step explanation:

As per the question,

We know that HCF stands for highest common factor of any two given numbers whereas LCM stands for lowest common factor of any two given numbers.

Given two numbers are:

$\frac{8}{15} \ and \ \frac{16}{125}$

As we know that HCF and LCM of fractions are given as

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

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

For the HCF:

First find the HCF of numerator that is 8 and 16

8 = 2 × 2 × 2

16 = 2 × 2× 2 × 2

∴ HCF of 8 and 16 = 2 × 2 × 2 =8

Ans secondly find the the LCM of denominator that is 15 and 125

15 = 3 × 5

125 = 5 × 5 × 5

∴ LCM of 15 and 125 = 375

Therefore, HCF of fractions $\frac{8}{15} \ and \ \frac{16}{125}$ is

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

= $\frac{8}{375}$

For the LCM:

First find the LCM of numerator that is 8 and 16

8 = 2 × 2 × 2

16 = 2 × 2× 2 × 2

∴ LCM of 8 and 16 = 2 × 2 × 2 × 2 = 16

Ans secondly find the the HCF of denominator that is 15 and 125

15 = 3 × 5

125 = 5 × 5 × 5

∴ HCF of 15 and 125 = 5

Therefore, LCM of fractions $\frac{8}{15} \ and \ \frac{16}{125}$ is

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

= $\frac{16}{5}$