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 2/4?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2. Thus, 2/4 simplifies to 1/2.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest positive integer that divides two or more integers without leaving a remainder.

Front

How do you find the GCD of two numbers?

Back

You can find the GCD by listing the factors of each number and identifying the largest common factor, or by using the Euclidean algorithm.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.

Front

Which of the following is NOT an equivalent fraction to 3/4: 6/8, 9/12, or 9/16?

Back

9/16 is NOT an equivalent fraction to 3/4.

Front

How do you create an equivalent fraction?

Back

To create an equivalent fraction, multiply or divide both the numerator and denominator of the original fraction by the same non-zero number.

Front

What is the simplified form of 18/24?

Back

The simplified form of 18/24 is 3/4, found by dividing both the numerator and denominator by their GCD, which is 6.

Front

What is the process of reducing a fraction?

Back

The process of reducing a fraction involves dividing both the numerator and denominator by their GCD until no further reduction is possible.