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 find the greatest common factor (GCF) of two numbers?

Back

The GCF is the largest number that divides both numbers without leaving a remainder. You can find it by listing the factors or using prime factorization.

Front

What is the GCF of 2 and 4?

Back

The GCF of 2 and 4 is 2.

Front

What is the GCF of 10 and 12?

Back

The GCF of 10 and 12 is 2.

Front

How do you simplify the fraction 2/4?

Back

Divide both the numerator and denominator by their GCF, which is 2. So, 2 ÷ 2 = 1 and 4 ÷ 2 = 2, resulting in 1/2.

Front

What is the simplified form of 10/12?

Back

The GCF of 10 and 12 is 2. Dividing both by 2 gives 5/6.

Front

What is the simplified form of 44/60?

Back

The GCF of 44 and 60 is 4. Dividing both by 4 gives 11/15.

Front

What is the simplified form of 9/18?

Back

The GCF of 9 and 18 is 9. Dividing both by 9 gives 1/2.

Front

What is the simplified form of 18/45?

Back

The GCF of 18 and 45 is 9. Dividing both by 9 gives 2/5.