Adding and Subtracting mixed numbers with unlike denominators

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/4.

Tags

CCSS.3.NF.A.3C

Front

How do you add mixed numbers with unlike denominators?

Back

To add mixed numbers with unlike denominators, first convert them to improper fractions, find a common denominator, add the fractions, and then convert back to a mixed number if necessary.

Tags

CCSS.7.NS.A.1C

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 9/4.

Tags

CCSS.3.NF.A.3C

Front

What is the first step in subtracting mixed numbers with unlike denominators?

Back

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

Tags

CCSS.7.NS.A.1C

Front

How do you find a common denominator for fractions?

Back

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

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share.

Front

What is the process for 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 sum over the original denominator.

Front

What is the result of adding 1 1/4 and 4 1/3?

Back

The result is 5 7/12.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the result of subtracting 4 7/12 from 6 5/6?

Back

The result is 2 3/12, which can be simplified to 2 1/4.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).