Add & Subtract Mixed Numbers

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

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers together, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

Front

What is the first step in subtracting mixed numbers?

Back

The first step is to subtract the whole numbers, then subtract the fractions. If the fraction from the top is smaller, borrow from the whole number.

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 \frac{9}{4}.

Front

Convert the mixed number 3 \frac{1}{2} to an improper fraction.

Back

3 \frac{1}{2} = \frac{7}{2}.

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 least common denominator (LCD)?

Back

The least common denominator is the smallest number that can be a common denominator for two or more fractions.

Front

How do you find the least common denominator for \frac{1}{3} and \frac{1}{4}?

Back

The least common denominator for \frac{1}{3} and \frac{1}{4} is 12.

Front

What is the process of simplifying 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 is the largest number that divides two or more numbers without leaving a remainder.