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 4/6?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2. So, 4 ÷ 2 = 2 and 6 ÷ 2 = 3, resulting in 2/3.

Front

What is the simplified form of 8/12?

Back

The GCD of 8 and 12 is 4. Dividing both by 4 gives 8 ÷ 4 = 2 and 12 ÷ 4 = 3, so the simplified form is 2/3.

Front

What is the GCD of 10 and 15?

Back

The GCD of 10 and 15 is 5.

Front

How do you find the GCD of two numbers?

Back

List the factors of each number and find the largest factor they have in common.

Front

What is the simplified form of 6/9?

Back

The GCD of 6 and 9 is 3. Dividing both by 3 gives 6 ÷ 3 = 2 and 9 ÷ 3 = 3, so the simplified form is 2/3.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.