Mixed Number Addition and Subtraction

Front

What is a mixed number?

Back

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

Front

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

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.

Front

How do you subtract mixed numbers?

Back

To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions. If the fraction from the top is smaller, borrow from the whole number.

Front

What is the first step in adding mixed numbers?

Back

The first step is to add the whole numbers together.

Front

What do you do if the sum of the fractions is greater than 1?

Back

If the sum of the fractions is greater than 1, convert the improper fraction to a mixed number and add it to the whole number.

Front

What is the process of converting 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 over the original denominator.

Front

Can you give an example of adding mixed numbers?

Back

Example: 1 3/4 + 2 1/2 = (1+2) + (3/4 + 1/2) = 3 + (3/4 + 2/4) = 3 + 5/4 = 4 1/4.

Front

What is the importance of finding a common denominator when adding fractions?

Back

Finding a common denominator allows you to combine fractions accurately, ensuring that the parts are comparable.

Front

What is a common mistake when subtracting mixed numbers?

Back

A common mistake is forgetting to borrow from the whole number when the fraction being subtracted is larger than the fraction on top.