Adding Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number).

Front

What does the numerator in a fraction represent?

Back

The numerator is the top number of a fraction and represents how many parts we have.

Front

What does the denominator in a fraction represent?

Back

The denominator is the bottom number of a fraction and represents the total number of equal parts the whole is divided into.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, 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 different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

Can you give an example of adding fractions with different denominators?

Back

Sure! To add 1/3 and 1/4, the common denominator is 12. Convert: 1/3 = 4/12 and 1/4 = 3/12. Then, 4/12 + 3/12 = 7/12.

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, like 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.