Adding and Subtracting Same Denominator Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to have a common denominator when adding or subtracting fractions?

Back

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

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, 7/12 - 3/12 = (7-3)/12 = 4/12 = 1/3.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, add the numerators and keep the denominator the same. For example, 11/6 + 7/6 = (11+7)/6 = 18/6 = 3.

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 11/6.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 4/5.

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 is the new numerator over the original denominator.

Front

What is the result of 2/9 + 1/9?

Back

The result of 2/9 + 1/9 is 3/9, which simplifies to 1/3.

Front

What is the result of 11/5 - 6/5?

Back

The result of 11/5 - 6/5 is (11-6)/5 = 5/5 = 1.

Front

What is the process for simplifying fractions?

Back

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