Adding Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What does it mean to add fractions?

Back

Adding fractions means combining the parts represented by the fractions to find a total.

Front

How do you add fractions with the same denominator?

Back

When adding fractions with the same denominator, you add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, 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 together.

Front

What is an example of adding fractions with the same denominator?

Back

Example: 3/8 + 2/8 = (3+2)/8 = 5/8.

Front

What is an example of adding fractions with different denominators?

Back

Example: 1/3 + 1/6. The common denominator is 6, so convert 1/3 to 2/6. Then, 2/6 + 1/6 = 3/6 = 1/2.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

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 is the whole number, and the remainder is the new numerator.