Question

The standard forms of equivalent rational numbers are same.

• A. True
• B. False

Answer 1

The correct option is A True

We know that two rational numbers are said to be equivalent if their lowest forms are the same.

Anda rational number is said to be in standard form if the common factor between numerator and denominator is only $1$and the denominator is always positive.

So we can say that two rational numbers are said to be equivalent if their standard forms are the same.

For example, Two equivalent rational numbers are $\frac{4}{16}and\frac{14}{56}$

Then the standard form of $\frac{4}{16}$is$\frac{4}{16}=\frac{4÷4}{16÷4}=\frac{1}{4}$

And the standard form of $\frac{14}{56}$is$\frac{14}{56}=\frac{14÷14}{56÷14}=\frac{1}{4}$

Hence, both the standard forms are the same.

Therefore the given statement is true.