Question

The smallest fraction which each of 6/7,5/14,10/21 will divide exactly is

a)30/7
b)30/98
C)60/147
d)50/294

Answer 1

the correct answer is

option : (a)

other options will get there answer in decimal number there fore (a) is the correct answer

Answer 2

Answer:

Option a -  $\frac{30}{7}$

Step-by-step explanation:

Given : Fractions $\frac{6}{7},\frac{5}{14},\frac{10}{21}$

To find :  The smallest fraction which each of fractions will divide exactly is?

Solution :

First we find the LCM of the fraction,

The LCM of fraction $\frac{a}{b},\frac{c}{d},\frac{e}{f}$ is given by,

$LCM=\frac{\text{LCM of Numerator}}{\text{HCF of Denominator}}$

Numerators are 6,5 and 10.

LCM of Numerator = 30

Denominators are 7,14 and 21.

HCF of Denominator = 7

Substitute in the formula,

$LCM=\frac{\text{LCM of Numerator}}{\text{HCF of Denominator}}$

$LCM=\frac{30}{7}$

Therefore, The required smallest number which will divide exactly is $\frac{30}{7}$

So, Option a is correct.