Adding Fractions

Front

What is the process for adding fractions with like denominators?

Back

To add fractions with like denominators, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with unlike denominators?

Back

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

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, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the first step in adding the fractions 1/3 and 2/5?

Back

The first step is to find the least common denominator (LCD) of 3 and 5, which is 15.

Front

If you have the fractions 3/4 and 1/6, what is the first step to add them?

Back

The first step is to find the least common denominator, which is 12, and convert both fractions to have this common denominator.

Front

What is the result of adding 2/12 and 2/6?

Back

The result is 1/2 after simplifying the sum.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the sum of 1/3 and 2/5 when expressed in simplest form?

Back

The sum is 11/15 after finding a common denominator and adding the fractions.

Front

Can you add fractions with different denominators directly? Why or why not?

Back

No, you cannot add fractions with different denominators directly because they represent different parts of a whole.