Question

Fill in the blank.
$\frac{10}{11}\times$ _____ $<\frac{10}{11}$

• A. $\frac{1}{10}$
• B. $\frac{11}{10}$
• C. $1$
• D. $\frac{10}{10}$

Answer 1

The correct option is A $\frac{1}{10}$

Here, the product is less than the original fraction. So, the fraction in the product must be less than $1$.
This means the fraction should have a numerator less than the denominator.
Hence, option C is correct.
Or

Option A:
Here,
$\frac{10}{10}=1$
When a fraction is multiplied by another fraction that is equal to one, the product is equal to the original fraction.
So,
$\frac{10}{11}\times 1=\frac{10}{11}$

Option B:
$\frac{10}{11}>1$
When a fraction is multiplied by another fraction greater than one, the product is greater than the original fraction.
So, $\frac{10}{11}\times \frac{11}{10}>\frac{10}{11}$

Option C:
Here, $\frac{1}{10}<1.$
When a fraction is multiplied by another fraction less than one, the product is less than the original fraction.
So, $\frac{10}{11}\times \frac{1}{10}<\frac{10}{11}$

Option D:
When a fraction is multiplied by another fraction that is equal to one, the product is equal to the original fraction.
So, $\frac{10}{11}\times 1=\frac{10}{11}$
Hence, option C is correct.