Reduce Fractions

Front

What does it mean to reduce a fraction?

Back

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

Front

How do you simplify the fraction 5/10?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 5. Thus, 5/10 simplifies to 1/2.

Front

What is the simplest form of the fraction 3/9?

Back

The simplest form of 3/9 is 1/3, obtained by dividing both the numerator and denominator by 3.

Front

What is the term used for putting a fraction in its simplest form?

Back

Reducing the fraction.

Front

How do you simplify the fraction 4/6?

Back

Divide both the numerator and denominator by their GCD, which is 2. Thus, 4/6 simplifies to 2/3.

Front

What is the simplest form of the fraction 7/21?

Back

The simplest form of 7/21 is 1/3, obtained by dividing both the numerator and denominator by 7.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How can you find the GCD of two numbers?

Back

You can find the GCD using the prime factorization method or the Euclidean algorithm.

Front

What is the first step in reducing a fraction?

Back

Identify the GCD of the numerator and denominator.

Front

Why is it important to reduce fractions?

Back

Reducing fractions makes them easier to understand and work with, especially in calculations.