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 1/2.

Tags

CCSS.3.NF.A.3C

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.

Tags

CCSS.3.NF.A.3C

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. The quotient is the whole number, and the remainder over the original denominator is the proper fraction.

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 result over the original denominator.

Front

What is the process to change 15/4 into a mixed number?

Back

Divide 15 by 4, which equals 3 with a remainder of 3. Thus, 15/4 as a mixed number is 3 3/4.

Front

What is the process to change 14/3 into a mixed number?

Back

Divide 14 by 3, which equals 4 with a remainder of 2. Thus, 14/3 as a mixed number is 4 2/3.

Front

How do you convert 3 1/3 into an improper fraction?

Back

Multiply 3 (the whole number) by 3 (the denominator) to get 9, then add the numerator 1 to get 10. So, 3 1/3 as an improper fraction is 10/3.

Front

What is the first step in converting a mixed number to an improper fraction?

Back

The first step is to multiply the whole number by the denominator of the fraction.

Front

What is the definition of a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 2/5.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What is the relationship between mixed numbers and improper fractions?

Back

Every mixed number can be expressed as an improper fraction, and vice versa.