Adding and Subtracting Fractions

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, and then add the numerators while keeping the common denominator.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have the same denominator. If they don't, find a common denominator, convert the fractions, and then subtract the numerators while keeping the common denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 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 becomes the numerator of the proper 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)?

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.

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 relationship between fractions and division?

Back

Fractions represent division; the numerator is divided by the 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 1/2 and 1/3?

Back

The least common multiple of 2 and 3 is 6, so the common denominator for 1/2 and 1/3 is 6.