Add and Subtract Rational Numbers (Fractions)

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you add two fractions with different denominators?

Back

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

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, convert them if necessary, and then subtract the numerators while keeping the common denominator.

Front

What is the first step in adding or subtracting mixed numbers?

Back

The first step is to convert the mixed numbers into improper fractions.

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 that result over the original denominator.

Front

What is the result of adding two negative fractions?

Back

The result of adding two negative fractions is a more negative fraction.

Front

How do you handle the subtraction of a negative number?

Back

Subtracting a negative number is equivalent to adding its positive counterpart.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

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

Back

The sign indicates whether the number is positive or negative, which affects the overall value when performing operations.