How to figure out if a fraction is a perfect square?

A fraction is a perfect square if the square root of both the numerator and the denominator are perfect squares.

Here's how to determine if a fraction is a perfect square:

1. Check the Numerator: Determine if the numerator is a perfect square. This means finding out if the square root of the numerator is an integer.
2. Check the Denominator: Determine if the denominator is a perfect square. This means finding out if the square root of the denominator is an integer.
3. Evaluate: If both the numerator and the denominator are perfect squares, then the entire fraction is a perfect square.

Example:

Consider the fraction 9/16.

• The square root of the numerator (9) is 3, which is an integer.
• The square root of the denominator (16) is 4, which is an integer.

Since both the square root of 9 and the square root of 16 are integers, 9/16 is a perfect square, as mentioned in the reference (Decimal and Fraction Perfect Squares - YouTube).