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

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

Front

How do you simplify the fraction 4/12?

Back

Divide both the numerator (4) and the denominator (12) by their greatest common divisor, which is 4. This gives you 1/3.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides both the numerator and the denominator without leaving a remainder.

Front

How do you find the GCD of two numbers?

Back

To find the GCD, list the factors of both numbers and identify the largest factor they have in common, or use the Euclidean algorithm.

Front

What is the simplified form of 75/75?

Back

The simplified form of 75/75 is 1, since any number divided by itself equals 1.

Front

What is the simplified form of 6/9?

Back

The simplified form of 6/9 is 2/3, obtained by dividing both the numerator and denominator by their GCD, which is 3.

Front

What is the first step in simplifying a fraction?

Back

The first step is to find the GCD of the numerator and denominator.

Front

Can a fraction be simplified if the numerator is 0?

Back

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

Front

What is an improper fraction?

Back

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