Simplifying Fractions, Converting between Mixed and Improper

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 a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, e.g., 1/2.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, e.g., 5/4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, e.g., 2 1/3.

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 original denominator is the fraction.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their GCF.

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

What is the first step in simplifying the fraction 6/8?

Back

Find the GCF of 6 and 8, which is 2.