Simplifying Fractions and Multiplying

The video tutorial explains how to multiply three signed fractions. It covers the process of simplifying fractions by identifying common factors between numerators and denominators using prime factorization. The tutorial also discusses determining the sign of the product when multiplying negative numbers and concludes with the final multiplication and simplification of the fractions.

What is the first step when multiplying three signed fractions?

• Convert fractions to decimals

• Multiply the numerators directly

• Simplify the fractions first

• Add the fractions

Why is prime factorization used in multiplying fractions?

• To add fractions easily

• To identify common factors for simplification

• To find the greatest common divisor

• To convert fractions to decimals

What is the prime factorization of 25?

• 3 * 3

• 2 * 5

• 2 * 3

• 5 * 5

How do you simplify a fraction using common factors?

• By adding the numerators

• By multiplying the fractions

• By subtracting the denominators

• By dividing both numerator and denominator by their common factors

What is the sign of a product with three negative factors?

• Negative

• Positive

• Zero

• Undefined

How can you determine the sign of a product when multiplying signed fractions?

• By checking the denominators

• By adding the fractions

• By converting to decimals

• By counting the number of negative signs

What is the result of multiplying 2 * 2 * 2 in the numerator?

• 6

• 4

• 8

• 10

What is the result of multiplying 5 * 11 in the denominator?

• 50

• 55

• 60

• 65

Why is it important to simplify fractions before multiplying?

• To make the multiplication process faster

• To ensure the final fraction is in simplest form

• To convert fractions to decimals

• To avoid errors in addition

What is the final simplified form of the fraction in the example?

• 10/50

• 10/55

• 8/55

• 8/50