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 \frac{3}{4}.

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.

Front

What is the first step in adding mixed numbers?

Back

Convert any mixed numbers to improper fractions.

Front

How do you find a common denominator for fractions?

Back

Identify the least common multiple (LCM) of the denominators.

Front

What is the process for adding mixed numbers?

Back

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

Front

What is the process for subtracting mixed numbers?

Back

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

Front

How do you simplify a fraction?

Back

Divide the numerator and denominator by their greatest common factor (GCF).

Front

What is the greatest common factor (GCF)?

Back

The largest number that divides two or more numbers without leaving a remainder.

Front

What is the least common multiple (LCM)?

Back

The smallest multiple that is exactly divisible by two or more numbers.

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.