Question

A Rational number p/q is said to be is standard form if p & q have

I as their HCP

I as their LCM

Denominator + ve

(i) & (iii)

​

Answer 1

Step-by-step explanation:

A Rational number pq is said to be in the standard form if q is positive and the integers pandq have no common divisor other then 1 .

Answer 2

Answer:

A rational number $\frac{p}{q}$is said to be is standard form if p and q have 1 as their HCP.

So,1st option is the correct answer.

Step-by-step explanation:

We know a rational number $\frac{ p}{q}$is said to be is standard form if p and q have no common divisor other than 1.

By this statement option 1st is the correct answer because 1 as their HCP means 1 is only common divisor of p and q.

So we can say a rational number $\frac{p}{q}$is said to be is standard form if p and q have 1 as their HCP.

By some examples,we can understand this concept easily.

Example -1:

Let,

$p = 2 \\ q = 3$

Here 2 and 3 have only one common divisor 1.

So,HCP of 2 and 3 is 1.

So we can say $\frac{2}{3}$

is a standard form of rational number.

Example -2:

Let,

$p = 2 \\ q = 4$

Here 2 and 4 have two common divisor 1 and 2.

So HCP of 2 and 4 is 2.

So we can say that $\frac{2}{4}$is not a standard form of rational number.