Subtract Mixed Numbers by regrouping

Front

What is a mixed number?

Back

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

Front

How do you subtract mixed numbers?

Back

To subtract mixed numbers, first, convert them to improper fractions, then subtract the fractions, and finally convert back to a mixed number if needed.

Front

What does regrouping mean in subtraction?

Back

Regrouping means borrowing from the next higher place value to make subtraction easier.

Front

What is the first step in subtracting mixed numbers?

Back

The first step is to convert the mixed numbers into improper fractions.

Front

Convert 3 1/4 to an improper fraction.

Back

3 1/4 = 13/4.

Front

Convert 2 2/5 to an improper fraction.

Back

2 2/5 = 12/5.

Front

What is 13/4 - 12/5?

Back

13/4 - 12/5 = 13/20.

Front

How do you find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

How do you convert 13/4 to have a denominator of 20?

Back

Multiply the numerator and denominator by 5: 13/4 = 65/20.