Adding Fractions

Front

What is the process to add 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 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 greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides each of the integers without leaving a remainder.

Front

What is the first step in adding the fractions 3/8 and 1/8?

Back

The first step is to ensure that the fractions have the same denominator, which they do in this case (both are over 8).

Front

What is the sum of 3/8 and 1/8?

Back

The sum of 3/8 and 1/8 is 4/8, which simplifies to 1/2.

Front

How do you find a common denominator for 1/5 and 5/6?

Back

To find a common denominator for 1/5 and 5/6, identify the least common multiple (LCM) of the denominators 5 and 6, which is 30.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that is exactly divisible by each of the numbers.

Front

What is the result of adding 5/8 and 2/8?

Back

The result of adding 5/8 and 2/8 is 7/8.

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.