Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, 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 number that divides both of them 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 12/30?

Back

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

Front

What is the simplified form of the fraction 14/21?

Back

The simplified form of 14/21 is 2/3.

Front

What is the simplified form of the fraction 9/21?

Back

The simplified form of 9/21 is 3/7.

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 relationship between the numerator and denominator in a fraction?

Back

The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts in the whole.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator.