Question

Multiply $1\frac{3}{5}$ and $\frac{1}{2}.$

Statement 1: The product of $1\frac{3}{5}$ and $\frac{1}{2}$ is less than $1\frac{3}{5}$ because $1\frac{3}{5}$ is being multiplied by a factor less than $1$.
Statement 2: The product of $1\frac{3}{5}$ and $\frac{1}{2}$ is greater than $1\frac{3}{5}$ because $1\frac{3}{5}$ is being multiplied by a factor greater than $1$.

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

Answer 1

The correct option is D Only Statement $1$ is correct.


Multiply $1\frac{3}{5}$ and $\frac{1}{2}$.
Here, $\frac{1}{2}<1$
When a number is multiplied by a fraction less than one, the product is less than the original number.

$1\frac{3}{5}=\frac{8}{5}$

$1\frac{3}{5}\times \frac{1}{2}=\frac{8}{5}\times \frac{1}{2}=\frac{8}{10}=\frac{8÷2}{10÷2}=\frac{4}{5}<\frac{8}{5}$

$1\frac{3}{5}$ is being multiplied by a fraction less than $1$.
So, the product of $1\frac{3}{5}$ and $\frac{1}{2}$ is less than $1\frac{3}{5}$.
So, only Statement $1$ is correct.
Hence, option C is correct.