Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

A mixed number is a number that consists of a whole number and a proper fraction combined, 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 5/4 or 7/7.

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 the result over the original denominator.

Front

Can improper fractions be simplified?

Back

Yes, improper fractions can be simplified if the numerator and denominator have a common factor.

Front

What is the relationship between mixed numbers and improper fractions?

Back

Every mixed number can be converted to an improper fraction, and vice versa.

Front

Give an example of a mixed number and its improper fraction equivalent.

Back

Example: The mixed number 2 1/2 is equivalent to the improper fraction 5/2.

Front

What does it mean for a fraction to be in simplest form?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

Front

True or False: All improper fractions represent numbers greater than 1.

Back

True, improper fractions represent numbers that are equal to or greater than 1.

Front

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

Back

Multiply the whole number by the denominator of the fraction.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4.