Adding and Subtracting Fractions

Front

What is the process to 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, 5/8 - 2/8 = (5-2)/8 = 3/8.

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators. For example, for 1/4 and 1/6, the LCM of 4 and 6 is 12, so the common denominator is 12.

Front

What is the first step in adding fractions with different denominators?

Back

The first step is to find a common denominator for the fractions.

Front

What is the result of 1/2 + 1/3?

Back

To add 1/2 and 1/3, find a common denominator (6), convert the fractions (3/6 + 2/6), and then add the numerators: 3/6 + 2/6 = 5/6.

Front

What is the simplified form of 12/16?

Back

The simplified form of 12/16 is 3/4, obtained by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).

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 difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4 or 4/4).

Front

What is the result of 3/4 - 1/4?

Back

The result of 3/4 - 1/4 is 2/4, which simplifies to 1/2.

Front

What is the importance of finding a common denominator when adding or subtracting fractions?

Back

Finding a common denominator is important because it allows you to combine the fractions accurately by ensuring they are expressed in terms of the same whole.