Simplify 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 for two fractions to be equivalent?

Back

Two fractions are equivalent if they represent the same value or proportion, even if they have different numerators and denominators.

Front

How do you simplify a fraction?

Back

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

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

Front

How do you find the least common multiple of two numbers?

Back

To find the LCM of two numbers, list the multiples of each number and identify the smallest multiple they have in common, or use the formula: LCM(a, b) = (a * b) / GCF(a, b).

Front

What is the process for ordering fractions from least to greatest?

Back

To order fractions from least to greatest, convert them to a common denominator or convert them to decimal form, then compare their values.

Front

What is a mixed number?

Back

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

Front

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

Back

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

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 2/3.