Adding 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 that common denominator, and then add the numerators while keeping 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 sum of the fractions \(\frac{1}{4}\) and \(\frac{4}{6}\)?

Back

The sum is \(\frac{11}{12}\) or \(\frac{22}{24}\) after finding a common denominator.

Front

How do you convert a fraction to an equivalent fraction?

Back

To convert a fraction to an equivalent fraction, multiply both the numerator and the denominator by the same non-zero integer.

Front

What is the result of adding \(\frac{5}{8}\) and \(\frac{1}{3}\)?

Back

The result is \(\frac{23}{24}\) after finding a common denominator.

Front

What is the sum of \(\frac{1}{3}\) and \(\frac{1}{4}\)?

Back

The sum is \(\frac{7}{12}\) or \(\frac{14}{24}\) after finding a common denominator.

Front

What is the sum of \(\frac{1}{8}\) and \(\frac{1}{2}\)?

Back

The sum is \(\frac{5}{8}\) or \(\frac{10}{16}\) after finding a common denominator.

Front

What is the sum of \(\frac{1}{3}\) and \(\frac{3}{5}\)?

Back

The sum is \(\frac{14}{15}\) or \(\frac{28}{30}\) after finding a common denominator.

Front

What is the importance of simplifying fractions after addition?

Back

Simplifying fractions makes them easier to understand and work with, and it is often required in final answers.