Reducing 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 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 find the greatest common divisor (GCD) of two numbers?

Back

The GCD of two numbers is the largest number that divides both of them without leaving a remainder. It can be found using methods like prime factorization or the Euclidean algorithm.

Front

What is the GCD of 6 and 9?

Back

The GCD of 6 and 9 is 3.

Front

How do you reduce the fraction 50/60?

Back

Divide both the numerator (50) and the denominator (60) by their GCD, which is 10, resulting in 5/6.

Front

What is the reduced form of 6/9?

Back

The reduced form of 6/9 is 2/3.

Front

What is the reduced form of 25/75?

Back

The reduced form of 25/75 is 1/3.

Front

What is the reduced form of 15/30?

Back

The reduced form of 15/30 is 1/2.

Front

What is the relationship between the numerator and denominator in a fraction?

Back

The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts in the whole.

Front

Why is it important to reduce fractions?

Back

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