Using Positive and Negative Fractions

Front

What is a positive fraction?

Back

A positive fraction is a fraction where the numerator and denominator are both positive numbers, resulting in a value greater than zero.

Front

What is a negative fraction?

Back

A negative fraction is a fraction where the numerator is negative, resulting in a value less than zero.

Front

How do you add two negative fractions?

Back

To add two negative fractions, add their absolute values and keep the negative sign. For example, -3/4 + -1/2 = -5/4.

Front

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

Back

The result depends on the absolute values of the fractions. If the positive fraction is larger, the result is positive; if the negative fraction is larger, the result is negative.

Front

How do you subtract a negative fraction from a negative fraction?

Back

To subtract a negative fraction, add its absolute value. For example, -2/5 - (-1/3) = -2/5 + 1/3.

Front

What is the first step in simplifying the expression -3 1/4 + (-2 2/3)?

Back

Convert mixed numbers to improper fractions: -3 1/4 = -13/4 and -2 2/3 = -8/3.

Front

What is the result of -5/6 - (-2/3)?

Back

The result is -5/6 + 2/3 = -1/6.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the result of -2/3 + (-5/6)?

Back

The result is -1 1/2.

Front

What is the process for finding a common denominator when adding fractions?

Back

Identify the least common multiple (LCM) of the denominators and convert each fraction to an equivalent fraction with that common denominator.