Simplifying Fractions

What is the goal of simplifying a fraction?

• To change its value to a whole number.

• To rewrite it using the smallest possible numerator and denominator without changing its value.

• To convert it into a decimal.

• To multiply the numerator and denominator by the same number.

How does factoring assist in simplifying fractions?

• It allows you to add the numerator and denominator.

• It helps identify "whole fractions" (common factors) that can be removed.

• It converts the fraction into a mixed number.

• It changes the fraction into an improper fraction.

What is the initial step when simplifying a fraction using the prime factorization method?

• Multiply the numerator and denominator by a common number.

• Find the greatest common divisor of the numerator and denominator.

• Replace the top and bottom numbers with their prime factors.

• Divide both the numerator and denominator by 2.

When simplifying a fraction, if all factors in either the numerator or denominator are canceled, what number should be written in their place?

• 0

• The original number

• 1

• The next prime number

What is the first step in simplifying a fraction?

• Cancel common factors

• Factor the top and bottom numbers

• Remultiply the leftover factors

• Find the greatest common factor

What is the simplified form of the fraction 5/15?

• 5/3

• 1/5

• 1/3

• 3/5

What are the prime factors of 30?

• 5 × 6

• 2 × 3 × 5

• 2 × 15

• 3 × 10

What is the simplified form of the fraction 30/36?

• 5/6

• 10/12

• 3/4

• 2/3