Adding and subtracting mixed numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Front

How do you convert 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 the result over the original denominator.

Front

What is the first step in adding mixed numbers?

Back

The first step in adding mixed numbers is to convert them to improper fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is the process for subtracting mixed numbers?

Back

To subtract mixed numbers, convert them to improper fractions, find a common denominator, subtract the numerators, and simplify if necessary.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share.

Front

How do you simplify a fraction?

Back

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

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you convert an improper fraction back to a mixed number?

Back

To convert an improper fraction back to a mixed number, divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator.

Front

What is the importance of estimating sums and differences of mixed numbers?

Back

Estimating sums and differences helps to check the reasonableness of the answer and can simplify calculations.