Suppose p - q is a positive rational in its lowest form- Prove that 1-q-1-p-q is also in its lowest form-

We are given that is a positive rational in its lowest form. nbsp; Since is in its lowest form, is also in its lowest form. Thus, is also in its lowest f ...

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Standard VIII

Mathematics

Rational Numbers

Suppose p / q...

Question

Suppose p/q is a positive rational in its lowest form. Prove that is also in its lowest form.

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Solution

We are given that is a positive rational in its lowest form.

Since is in its lowest form, is also in its lowest form.

Thus, is also in its lowest form.

Therefore, is in its lowest form.

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Similar questions

Q. The positive value of '

c

' that makes the area bounded by the graph of

y = c (1 - x^{2})

and the x-axis equal to

1

, can be expressed in the form

p / q

where

p, q ϵ N

and in their lowest form, then

(p + q)

equals:

Question 1
Is zero a rational number? Can you write it in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ ?

Q. If

2.5252525...

= \frac{p}{q}

(in the lowest form), then what is the value of

\frac{q}{p}

Q. If

2.5252525...... = \frac{p}{q}

(in the lowest form), then what is the value of

\frac{q}{p}

Q. Is zero a rational number ? can you write it in the form

\frac{p}{q}

and

q \neq 1

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Suppose p/q is a positive rational in its lowest form. Prove that is also in its lowest form.

We are given that is a positive rational in its lowest form. Since is in its lowest form, is also in its lowest form. Thus, is also in its lowest form. Therefore, is in its lowest form.

We are given that is a positive rational in its lowest form.

Since is in its lowest form, is also in its lowest form.

Thus, is also in its lowest form.

Therefore, is in its lowest form.