Adding and Subtracting Fractions

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

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

How do you find the least common denominator (LCD) of two fractions?

Back

To find the least common denominator (LCD), list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the first step in adding or subtracting fractions?

Back

The first step is to determine if the fractions have the same denominator. If they do, you can proceed to add or subtract the numerators.

Front

What is the importance of simplifying fractions after adding or subtracting?

Back

Simplifying fractions makes them easier to understand and work with. It also ensures that the answer is in its simplest form.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

How can 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 becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

How do you add a mixed number and a fraction?

Back

To add a mixed number and a fraction, first convert the mixed number to an improper fraction, then find a common denominator and add.