Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 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, like 5/4.

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 that over the denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

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 first step in adding mixed numbers?

Back

Convert the mixed numbers to improper fractions.

Front

What is the first step in subtracting mixed numbers?

Back

Convert the mixed numbers to improper fractions.

Front

Can you add a mixed number and an improper fraction directly?

Back

No, you must convert the mixed number to an improper fraction or vice versa before adding.

Front

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

Back

1 1/3 + 2 2/3 = 4.

Front

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

Back

3 1/4 - 1 1/4 = 2.

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 them.