Adding and Subtracting Fractions Word Problems

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator. Convert each fraction to an equivalent fraction with the common denominator, then add the numerators and keep the common denominator.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, then subtract the numerators and keep the common denominator.

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 do 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 over the original denominator is the fraction.

Front

What is the least common multiple (LCM) and how is it used in adding fractions?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. It is used to simplify fractions.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the relationship between addition and subtraction of fractions?

Back

Addition and subtraction of fractions are inverse operations. When you add a fraction and then subtract the same fraction, you return to the original value.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem expressed in words rather than numbers, requiring interpretation and problem-solving skills to find a solution.

Front

How can you identify the operation needed in a word problem?

Back

To identify the operation needed in a word problem, look for keywords: 'total' or 'combined' suggests addition, while 'difference' suggests subtraction.