Fraction Theory Concepts

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

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 convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator 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, such as 5/4 or 7/7.

Front

What is a mixed number?

Back

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

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share, used to compare or add fractions.

Front

How do you find the LCD of 1/4 and 1/6?

Back

The LCD of 1/4 and 1/6 is 12, as 12 is the smallest number that both 4 and 6 can divide into evenly.

Front

What is the greatest common factor (GCF)?

Back

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

Front

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

Back

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

Front

What is the process for comparing fractions with unlike denominators?

Back

To compare fractions with unlike denominators, first find the least common denominator (LCD), then convert the fractions to equivalent fractions with the LCD.