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 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 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 the first step in solving a word problem involving fractions?

Back

The first step is to read the problem carefully and identify the fractions involved.

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 that over the original denominator.

Front

What is a mixed number?

Back

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

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the sum of 5/10, 1/5, and 45/100?

Back

Convert all fractions to have a common denominator (100), then add: 50/100 + 20/100 + 45/100 = 115/100 or 1 15/100.