Question

Choose the correct word and fill in the blank:

$\frac{1}{2}$ and $\frac{-1}{8}$ represent the ………. rational number()

• A. same
• B. different

Answer 1

Given rational numbers are $\frac{1}{2}$ and $\frac{-1}{8}$.

Step $1.$ Finding standard form of $\frac{1}{2}$

HCF of $1$ and $2$ is $1$.

$\frac{1}{2}$is in standard form because both the numerator and denominator have no common factor other than $1$.

Step $2.$ Finding standard form of $\frac{-1}{8}$

HCF of $1$ and $8$ is $1$.

$\frac{-1}{8}$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 not the same. Hence $\frac{1}{2}$ and $\frac{-1}{8}$ are different.