Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you find the greatest common divisor (GCD) of two numbers?

Back

The GCD of two numbers is the largest positive integer that divides both numbers without leaving a remainder. It can be found using the Euclidean algorithm or by listing the factors.

Front

What is the simplified form of the fraction 8/12?

Back

The simplified form of 8/12 is 2/3.

Front

What is the simplified form of the fraction 4/20?

Back

The simplified form of 4/20 is 1/5.

Front

What is the simplified form of the fraction 9/36?

Back

The simplified form of 9/36 is 1/4.

Front

What is the simplified form of the fraction 12/30?

Back

The simplified form of 12/30 is 2/5.

Front

What is the first step in simplifying a fraction?

Back

The first step in simplifying a fraction is to find the GCD of the numerator and the denominator.

Front

Can a fraction be simplified if the numerator is 0?

Back

Yes, a fraction with a numerator of 0 is always 0, regardless of the denominator (as long as the denominator is not 0).

Front

What happens if the numerator and denominator are the same?

Back

If the numerator and denominator are the same (and not zero), the fraction simplifies to 1.