Simplifying Fractions and Evaluating Expressions

The video tutorial explains how to evaluate and simplify expressions involving fractions. It covers the process of substituting values into expressions, finding common denominators, and performing arithmetic operations on fractions. The tutorial also demonstrates two methods for simplifying fractions: dividing by common factors and using prime factorization. The video concludes with a similar process for subtracting fractions, emphasizing the importance of simplification.

What is the first step in evaluating the expression a + b when a = 3/10 and b = 1/10?

• Multiply the fractions

• Simplify the expression

• Substitute the given values for a and b

• Find a common denominator

When adding fractions with a common denominator, what remains unchanged?

• The numerators

• The denominators

• The sum

• The product

What is the sum of 3/10 and 1/10?

• 6/10

• 2/10

• 4/10

• 5/10

Which common factor is used to simplify the fraction 4/10?

• 5

• 2

• 4

• 3

What is the simplified form of 4/10?

• 3/5

• 2/5

• 1/5

• 4/5

What is the prime factorization of 10?

• 2 * 3

• 2 * 5

• 2 * 2

• 3 * 5

What is the first step in evaluating the expression x - y when x = 11/15 and y = 6/15?

• Substitute the given values for x and y

• Multiply the fractions

• Find a common denominator

• Simplify the expression

What is the result of subtracting 6/15 from 11/15?

• 5/15

• 7/15

• 4/15

• 6/15

Which common factor is used to simplify the fraction 5/15?

• 2

• 1

• 5

• 3

What is the simplified form of 5/15?

• 1/5

• 1/4

• 1/3

• 1/2