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 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 sum of 1/4 and 5/8?

Back

The sum of 1/4 and 5/8 is 7/8.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

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

What is the result of adding 1/3 and 4/9?

Back

The result of adding 1/3 and 4/9 is 7/9.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, simply add the numerators and keep the denominator the same.

Front

What is the sum of 2/3 and 7/12?

Back

The sum of 2/3 and 7/12 is 15/12, which can be simplified to 1 1/4.