Adding Fractions with Like Denominators Explained

What is the first step in adding fractions with like denominators?

• Multiply the numerators

• Add the numerators

• Add the denominators

• Subtract the numerators

In the example with 9x/4 + 8x/4, what is the simplified form of the fraction?

• 9x + 8x

• 34x/8

• 17x/4

• 17x/8

What common factor is used to simplify the fraction 6d + 3 over 3d?

• 2

• 9

• 3

• 6

After canceling out common terms, what is the simplified form of the fraction with numerator x^2 - 3x - 4 and denominator x^2 - x - 12?

• x - 1 over x + 4

• x + 3 over x - 4

• x - 4 over x + 3

• x + 1 over x + 3

Which term is canceled out in the fraction with numerator and denominator containing x - 4?

• x + 3

• x - 4

• x + 1

• x - 1

What is the result of simplifying the fraction b^2 + 4b + 2 - b over 3b + 6?

• b + 1 over 3

• b + 2 over 3

• b^2 + 3b + 2 over 3

• b^2 + 3b + 2 over 6

What is the greatest common factor (GCF) used to simplify the fraction 3b + 6?

• 12

• 3

• 6

• 2

In the final example, what is the simplified form of the fraction 4x + 2 over 2?

• 2x + 1

• 2x + 2

• 4x + 1

• 8x + 4

What does the 'heart method' refer to in the context of simplifying fractions?

• Factoring the numerator and denominator

• Dividing both numerator terms by the denominator

• Multiplying numerators and denominators

• Adding numerators and denominators

What is the correct sequence of steps for adding fractions with like denominators?

• Add numerators, keep denominator, factor, simplify

• Add denominators, multiply numerators, simplify

• Multiply numerators, add denominators, simplify

• Factor numerators, add denominators, simplify