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 8/12?

Back

2/3

Front

What is the simplified form of the fraction 9/27?

Back

1/3

Front

How do you simplify the fraction 15/45?

Back

Divide both the numerator and denominator by their GCD, which is 15, resulting in 1/3.

Front

What is the simplified form of the fraction 10/50?

Back

1/5

Front

What is the relationship between fractions and division?

Back

A fraction can be interpreted as a division problem, where the numerator is divided by the denominator.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.