Addition and Subtraction of Fractions and Mixed Numbers

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that common denominator, then add the numerators and keep the common denominator.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that common denominator, then subtract the numerators and keep the common denominator.

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 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 becomes the whole number, and the remainder over the original denominator becomes the fraction.

Front

What is the least common multiple (LCM) and how is it used in adding fractions?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common divisor (GCD) and how is it used in simplifying fractions?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. It is used to simplify fractions by dividing the numerator and denominator by the GCD.

Front

How do you simplify a fraction?

Back

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

Front

What is the process for adding 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 and add it to the whole number sum.

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 second mixed number is larger, borrow 1 from the whole number.

Front

What is the result of 3/4 - 2/5?

Back

The result of 3/4 - 2/5 is 7/20.