Adding and Subtracting Mixed Numbers

Front

What is a mixed number?

Back

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

Tags

CCSS.3.NF.A.3C

Front

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers, then add the fractions. If the fractions have different denominators, find a common denominator.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the first step in subtracting mixed numbers?

Back

The first step is to ensure both mixed numbers have the same denominator for the fractions.

Tags

CCSS.7.NS.A.1C

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

How do you find the least common denominator (LCD)?

Back

To find the LCD, list the multiples of each denominator and find the smallest multiple they share.

Front

What is the process for subtracting fractions with different denominators?

Back

Convert the fractions to have a common denominator, then subtract the numerators.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What happens if the fraction part of a mixed number is improper after addition or subtraction?

Back

If the fraction part is improper, convert it to a mixed number by adding 1 to the whole number and adjusting the fraction.

Front

Why can't we just add the numerators and denominators of fractions with different denominators?

Back

Because the size of the pieces is different; you must find a common denominator first.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.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, such as 5/4.

Tags

CCSS.3.NF.A.3C

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 over the denominator is the fraction.