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

What is the numerator in a fraction?

Back

The numerator is the top number of a fraction that indicates how many parts are being considered.

Front

What is the denominator in a fraction?

Back

The denominator is the bottom number of a fraction that indicates the total number of equal parts in a whole.

Front

How do you simplify the fraction 2/12?

Back

Divide both the numerator (2) and the denominator (12) by their greatest common factor, which is 2. The simplified fraction is 1/6.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 18 and 24?

Back

List the factors of each number: Factors of 18 are 1, 2, 3, 6, 9, 18; Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The GCF is 6.

Front

What is the simplified form of 18/24?

Back

The simplified form is 3/4, found by dividing both the numerator and denominator by their GCF, which is 6.

Front

How do you simplify the fraction 14/21?

Back

Divide both the numerator (14) and the denominator (21) by their GCF, which is 7. The simplified fraction is 2/3.

Front

What is the simplified form of 9/36?

Back

The simplified form is 1/4, found by dividing both the numerator and denominator by their GCF, which is 9.