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 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 number that divides both of them without leaving a remainder. It can be found using methods like prime factorization or the Euclidean algorithm.

Front

What is the GCD of 12 and 18?

Back

The GCD of 12 and 18 is 6.

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 denominator.

Front

How do you simplify the fraction 8/24?

Back

To simplify 8/24, divide both the numerator and denominator by their GCD, which is 8. The simplified fraction is 1/3.

Front

What is the simplified form of 10/25?

Back

The simplified form of 10/25 is 2/5.

Front

What is the relationship between the numerator and denominator in a simplified fraction?

Back

In a simplified fraction, the numerator and denominator have no common factors other than 1.

Front

How can you check if a fraction is in its simplest form?

Back

A fraction is in its simplest form if the GCD of the numerator and denominator is 1.

Front

What is the simplified form of 14/28?

Back

The simplified form of 14/28 is 1/2.