Adding and Subtracting Improper Fractions

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 9/4 is an improper fraction.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is a mixed number?

Back

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

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

How do you subtract mixed numbers?

Back

To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions. If the fraction from the top is smaller than the bottom, borrow from the whole number.

Front

What is the first step in adding improper fractions?

Back

The first step in adding improper fractions is to ensure they have a common denominator.

Front

What is the first step in subtracting improper fractions?

Back

The first step in subtracting improper fractions is to ensure they have a common denominator.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

How do you find a common denominator for 2/3 and 1/4?

Back

The least common multiple of 3 and 4 is 12, so the common denominator is 12.

Front

What is the result of 5 1/7 - 2 4/7?

Back

The result is 2 4/7.