Add and Subtract mixed numbers with unlike denominators

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 \frac{3}{4}.

Front

What does it mean to add mixed numbers with unlike denominators?

Back

It means to combine mixed numbers that have different denominators, requiring a common denominator to perform the addition.

Front

How do you find a common denominator for two fractions?

Back

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

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, such as \frac{1}{2} and \frac{2}{4}.

Front

What is the first step in adding mixed numbers?

Back

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

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 original denominator.

Front

What is the sum of 3 \frac{5}{8} and 6 \frac{1}{2}?

Back

The sum is 10 \frac{1}{8}.

Front

What do you do if the fractions have different denominators?

Back

You must find a common denominator before adding or subtracting the fractions.

Front

What is the result of adding \frac{5}{9} and \frac{1}{6}?

Back

The result is \frac{13}{18}.

Front

What operation do you perform when the question asks for the sum?

Back

You perform addition.