Adding & Subtracting Fractions (Negative & Positive)

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

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, a/b - c/b = (a - c)/b.

Front

What is the result of adding a negative fraction to a positive fraction?

Back

When adding a negative fraction to a positive fraction, you effectively subtract the absolute value of the negative fraction from the positive fraction.

Front

How do you simplify the fraction -5/3?

Back

To simplify -5/3, you can express it as a mixed number: -5/3 = -1 2/3.

Front

What is the result of subtracting a larger fraction from a smaller fraction?

Back

Subtracting a larger fraction from a smaller fraction results in a negative fraction.

Front

What is the first step in adding or subtracting fractions?

Back

The first step is to ensure that the fractions have a common denominator.

Front

How do you handle double negatives in fraction operations?

Back

Double negatives in fraction operations turn into a positive. For example, -(-a/b) = a/b.

Front

What is the result of -5/8 - (-15/8)?

Back

The result is 5/4, as subtracting a negative is equivalent to adding the positive.

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator is crucial for accurately adding or subtracting fractions, as it allows for direct comparison of the numerators.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.