Question

which of the following is a smallest number between 2/7 and 3/5​

Answer 1

Answer:

3/5

Explanation:

Answer 2

The smallest number is $\dfrac{2}{7}$.

Step-by-step explanation:

We have,

$\dfrac{2}{7}$ and $\dfrac{3}{5}$

To find, the smallest number = ?

∴ $\dfrac{2}{7}$ and$\dfrac{3}{5}$

The LCM of 7 and 5

$=7\times 5$ (since, 7 and 5 both are prime number)

= 35

∴ $\dfrac{2}{7}$ and $\dfrac{3}{5}$

$=\dfrac{2\times 5}{7\times 5}$ and $\dfrac{3\times 7}{5\times 7}$]

$=\dfrac{10}{35}$ and $\dfrac{21}{35}$

The denominator is same, the the smallest numerator is smallest number.

$=\dfrac{10}{35}<\dfrac{21}{35}$

∴ $=\dfrac{2}{7}<\dfrac{3}{5}$

Hence, the smallest number is $\dfrac{2}{7}$.