Adding and Subtracting Fractions - Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you add fractions with like denominators?

Back

To add fractions with like denominators, you simply add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with unlike denominators?

Back

To add fractions with unlike denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/3 and 1/4, the common denominator is 12: (1/3 = 4/12) + (1/4 = 3/12) = 7/12.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, if they have like denominators, subtract the numerators and keep the denominator the same. If they have unlike denominators, find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 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. For example, 9/4 = 2 1/4.

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator is essential when adding or subtracting fractions with unlike denominators, as it allows you to combine the fractions accurately.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/12, divide both by 4 to get 2/3.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division; for example, the fraction 3/4 represents 3 divided by 4.

Front

How do you solve word problems involving fractions?

Back

To solve word problems involving fractions, identify the quantities involved, determine the operations needed (addition, subtraction, etc.), and translate the problem into a mathematical expression.