Question

Multiply $\frac{2}{5}$ and $6$.
Statement 1: The product of $\frac{2}{5}$ and $6$ is less than $6$ because $6$ is being multiplied by a fraction/number less than $1$.
Statement 2: The product of $\frac{2}{5}$ and $6$ is greater than $\frac{2}{5}$, because $\frac{2}{5}$ is being multiplied by a fraction/number greater than $1$.

• A. Only Statement $1$ is correct
• B. Only Statement $2$ is correct.
• C. Both statements are correct,
• D. Both of them are incorrect.

Answer 1

The correct option is C Both statements are correct,

Since $\frac{2}{5}>1,$
When a number is multiplied by a number/fraction less than one, the product is less than the original number.
$6\times \frac{2}{5}<6$
$6$ is being multiplied by a fraction less than $1$. So, The product of $\frac{2}{5}$ and $6$ is less than $6.$
Hence, Statement $1$ is correct.

$6>1$
When a number is multiplied by a fraction/number greater than one, the product is greater than the original number.
$\frac{2}{5}\times 6>\frac{2}{5}$
$\frac{2}{5}$ is being multiplied by a number greater than $1.$
So, the product of $\frac{2}{5}$ and $6$ is greater than $\frac{2}{5}$.
So, statement $2$ is correct.
So, both the statements are correct.
So, option A is correct.