Question

Choose the correct word and fill in the blank:

$\frac{36}{44}$ and $\frac{3}{11}$ represent the ………. rational number(s).

• A. same
• B. different

Answer 1

Given rational numbers are $\frac{36}{44}$ and $\frac{3}{11}$.

Step $1.$ Finding standard form of $\frac{36}{44}$

HCF of $36$ and $44$ is $4$.

On dividing the numerator and denominator of $\frac{36}{44}$ by their HCF $4$. We get:

$\frac{36÷4}{44÷4}=\frac{9}{11}$

Step $2.$ Finding standard form of $\frac{3}{11}$

HCF of $3$ and $11$ is $1$.

$\frac{3}{11}$ is in standard form because both the numerator and denominator have no common factor other than $1$.

Step $3.$ Compare standard forms:

Since the standard form of given rational numbers is different. Hence $\frac{36}{44}$ and $\frac{3}{11}$ are different.