Adding and Subtracting 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 add fractions?

Back

Adding fractions involves finding a common denominator and then adding the numerators while keeping the denominator the same.

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 the Least Common Denominator (LCD) of two fractions?

Back

To find the LCD, list the multiples of each denominator and identify the smallest multiple they share.

Front

What is the process for subtracting fractions?

Back

Subtracting fractions requires a common denominator; subtract the numerators and keep the denominator the same.

Front

Convert the mixed number 3 6/7 to an improper fraction.

Back

3 6/7 = 27/7.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than the denominator, while an improper fraction has a numerator larger than or equal to the denominator.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).

Front

What is the sum of 1/3 and 1/2?

Back

1/3 + 1/2 = 5/6 (using the common denominator of 6).

Front

If Sally ran 1/3 of a mile and swam 5/6 of a mile, how much farther did she swim?

Back

She swam 1/2 mile farther than she ran.