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 2 1/2.

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 that result over the original denominator.

Front

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

Back

The first step is to find a common denominator for the fractions.

Front

How do you find a common denominator for two fractions?

Back

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

Front

What is the process for subtracting mixed numbers?

Back

1. Convert mixed numbers to improper fractions. 2. Find a common denominator. 3. Subtract the fractions. 4. Convert back to a mixed number if necessary.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers.

Front

How do you simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

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

Front

What is the result of 9 - 3 3/8?

Back

The result is 5 5/8.

Front

How do you handle borrowing when subtracting mixed numbers?

Back

When borrowing, convert one whole from the mixed number into the fraction part, increasing the fraction's value by the denominator.