Simplifying fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with 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 divisor (GCD) of two numbers?

Back

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

Front

What is the simplified form of the fraction 2/4?

Back

The simplified form of 2/4 is 1/2.

Front

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

Back

The simplified form of 3/9 is 1/3.

Front

How do you simplify the fraction 8/12?

Back

To simplify 8/12, divide both the numerator and denominator by their GCD, which is 4. Thus, 8/12 simplifies to 2/3.

Front

What is the simplified form of the fraction 10/25?

Back

The simplified form of 10/25 is 2/5.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division, where the numerator is divided by the denominator (e.g., 1/2 means 1 divided by 2).

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator (e.g., 5/4).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction (e.g., 1 1/2).