Adding and Subtracting Fractions Word Problems

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

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 the first step in solving a word problem involving fractions?

Back

Read the problem carefully to understand what is being asked and identify the fractions involved.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have the same denominator, then subtract the numerators and keep the denominator the same.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to make addition or subtraction possible.

Front

If you have 1/3 and 1/6, how do you find a common denominator?

Back

The least common multiple of 3 and 6 is 6, so the common denominator is 6.

Front

What is the sum of 1/3 and 1/6?

Back

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.

Front

How do you compare two fractions?

Back

To compare two fractions, convert them to have a common denominator or convert them to decimal form.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 1/2), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4).