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 is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4 or 12/7.

Front

What is a mixed number?

Back

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

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the proper fraction.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 6/10?

Back

Divide both the numerator and denominator by their greatest common divisor, which is 2. So, 6/10 simplifies to 3/5.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

Front

What is the least common multiple (LCM)?

Back

The LCM is the smallest number that is a multiple of two or more numbers.

Front

How do you find the GCD of 12 and 8?

Back

List the factors of each number: Factors of 12 are 1, 2, 3, 4, 6, 12; Factors of 8 are 1, 2, 4, 8. The GCD is 4.

Front

What is the process to add fractions with different denominators?

Back

Find a common denominator, convert the fractions, then add the numerators and keep the common denominator.