Add and Subtract 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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

What does it mean to add fractions?

Back

Adding fractions means combining the parts represented by the fractions. If the fractions have the same denominator, you add the numerators. If they have different denominators, you must find a common denominator first.

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

How do you find a common denominator for 1/4 and 1/6?

Back

The least common multiple (LCM) of 4 and 6 is 12. So, the common denominator is 12.

Front

What is the sum of 1/4 and 1/6?

Back

1/4 + 1/6 = 3/12 + 2/12 = 5/12.

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 10/8.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/4.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

What is the result of 5/8 + 5/8?

Back

5/8 + 5/8 = 10/8, which can be simplified to 1 2/8 or 1 1/4.

Front

Can you add fractions with different denominators directly?

Back

No, you cannot add fractions with different denominators directly. You must first find a common denominator.