State- whether the statement given in the question- is true or False- If p-q is a rational number and m is a non-zero common divisor of p and q- then p-q - p - m-q - m

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Closure Property of Rational Numbers

State, whethe...

Question

State, whether the statement given in the question, is true or False:
If $\frac{p}{q}$ is a rational number and $m$ is a non-zero common divisor of $p$ and $q$ , then $\frac{p}{q} = \frac{(p \div m)}{(q \div m)}$

True

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False

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Solution

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Similar questions

State whether each of the following statement are true or false. If the statement is false, rewrite the given statement correctly.

(i) If P = {m, n} and Q = {n, m}, then P × Q = {(m, n), (n, m)}.

(ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.

(iii) If A = {1, 2}, B = {3, 4}, then A × (B ∩ Φ) = Φ.

P = {m, n}

Q = {n, m}

P \times Q = {(m, n), (n, m)}

A

B

A \times B

(x, y)

x \in A

y \in B

A = {1, 2}, B = {3, 4}

A \times (B \cap ϕ) = ϕ

Question 52

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero common divisor of p and q, then $\frac{p}{q} = \frac{p \div m}{q \div m} .$

Question 51

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero integer then $\frac{p}{q} = \frac{p \times m}{q \times m}$

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