Fraction Operations

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

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

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

A mixed number is a whole number combined with a proper fraction.

To subtract fractions with different denominators, find a common denominator, convert the fractions, and then subtract the numerators.

To convert an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number, and the remainder becomes the new numerator over the original denominator.

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder.