Adding and Subtracting Fractions with Like/Unlike Denominators

What is a fraction?

• A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

• A fraction is a whole number that can be divided by another whole number.

• A fraction is a type of decimal that represents a value less than one.

• A fraction is a mathematical operation used to add or subtract numbers.

What is the process for adding fractions with unlike denominators?

• 1. Find a common denominator, convert each fraction to an equivalent fraction with the common denominator, and add the numerators while keeping the common denominator.

• 2. Simply add the numerators and denominators of the fractions directly.

• 3. Multiply the denominators and add the numerators without finding a common denominator.

• 4. Subtract the smaller fraction from the larger one to find the result.

What is the result of adding 1/8 and 3/8?

• 1/4

• 1/2

• 3/4

• 1

How do you simplify a fraction?

• Divide both the numerator and the denominator by their greatest common divisor (GCD).

• Multiply both the numerator and the denominator by their least common multiple (LCM).

• Add the numerator and the denominator together.

• Subtract the numerator from the denominator.

Why is it important to find a common denominator when adding or subtracting fractions?

• It allows fractions to be expressed in the same terms, making it possible to accurately add or subtract their values.

• It simplifies the fractions to their lowest terms before performing operations.

• It helps in converting fractions into decimals for easier calculations.

• It ensures that the fractions have the same numerator for addition or subtraction.

What does it mean for fractions to have like denominators?

• Fractions have like denominators when they share the same denominator, allowing for direct addition or subtraction of their numerators.

• Fractions have like denominators when they have different numerators but the same value.

• Fractions have like denominators when they can be multiplied to get a common denominator.

• Fractions have like denominators when they are both whole numbers.

What is the result of adding 2/6 and 5/9?

• 7/9

• 8/9

• 1/2

• 3/5

How do you find a common denominator for two fractions?

• Identify the greatest common factor (GCF) of the denominators.

• Add the denominators together to get a new denominator.

• Identify the least common multiple (LCM) of the denominators.

• Multiply the denominators to find a common denominator.

What is the result of subtracting 1/3 from 7/12?

• 1/2

• 1/3

• 1/4

• 2/3

What does it mean for fractions to have unlike denominators?

• Fractions have unlike denominators when they have the same denominators, allowing for direct addition or subtraction.

• Fractions have unlike denominators when they have different denominators, requiring a common denominator to be found before adding or subtracting.

• Fractions have unlike denominators when they are both whole numbers, making them easier to compare.

• Fractions have unlike denominators when they are both less than one, simplifying the calculation process.