Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 is a mixed number, which means 2 whole parts and 1/2 of another part.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 5/4 is an improper 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. For example, 2 1/3 becomes (2*3 + 1)/3 = 7/3.

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

Front

What is the first step in adding mixed numbers?

Back

The first step in adding mixed numbers is to convert them to improper fractions.

Front

What is the first step in subtracting mixed numbers?

Back

The first step in subtracting mixed numbers is to convert them to improper fractions.

Front

Can you add a mixed number and an improper fraction?

Back

Yes, you can add a mixed number and an improper fraction by first converting the mixed number to an improper fraction or vice versa.

Front

What is the sum of 1 1/2 and 2 2/3?

Back

The sum of 1 1/2 and 2 2/3 is 4 1/6.

Front

What is the difference between 3 3/4 and 1 1/2?

Back

The difference between 3 3/4 and 1 1/2 is 2 1/4.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract fractions.