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 common denominator, then add the numerators and keep the common denominator.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that common denominator, then subtract the numerators and keep the common denominator.

Front

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

Back

The result depends on the absolute values of the fractions. If the positive fraction has a greater absolute value, the result is positive; if the negative fraction has a greater absolute value, the result is negative.

Front

How do you handle negative fractions in addition and subtraction?

Back

When adding or subtracting negative fractions, treat the negative sign as part of the fraction. Follow the same rules for finding common denominators and combining numerators.

Front

What is the first step in solving the expression -13/7 - (-3/4)?

Back

The first step is to recognize that subtracting a negative fraction is the same as adding its positive counterpart, so the expression becomes -13/7 + 3/4.

Front

What is the least common multiple (LCM) and how is it used in adding fractions?

Back

The least common multiple (LCM) of the denominators is used to find a common denominator when adding or subtracting fractions.

Front

What is the result of -2/7 + (-2/3)?

Back

The result is -20/21, which is found by converting both fractions to a common denominator and adding 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 the result over the original denominator.

Front

What is the significance of the negative sign in front of a fraction?

Back

The negative sign indicates that the value of the fraction is less than zero, which affects the overall result when performing addition or subtraction.

Front

How do you simplify the fraction -31/28?

Back

The fraction -31/28 is already in its simplest form, as 31 and 28 have no common factors other than 1.