Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

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

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 9/4.

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 the result over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

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 is the new numerator over the original denominator. For example, 9/4 = 2 1/4.

Front

What is the improper fraction for the mixed number 3 2/5?

Back

The improper fraction is 17/5.

Front

What is the mixed number for the improper fraction 11/4?

Back

The mixed number is 2 3/4.

Front

What is the process to add mixed numbers?

Back

Convert each mixed number to an improper fraction, add the fractions, and convert back to a mixed number if necessary.

Front

What is the process to subtract mixed numbers?

Back

Convert each mixed number to an improper fraction, subtract the fractions, and convert back to a mixed number if necessary.

Front

How do you simplify an improper fraction?

Back

Divide the numerator and denominator by their greatest common factor (GCF). For example, 8/12 simplifies to 2/3.

Front

What is the relationship between mixed numbers and improper fractions?

Back

Every mixed number can be expressed as an improper fraction, and every improper fraction can be converted back to a mixed number.