Simplify two rational expressions by subtracting

The video tutorial explains how to simplify the expression 6y/15y - (x-y)/15y. It begins by discussing the importance of having a common denominator when dealing with fractions. The tutorial then demonstrates how to subtract fractions by subtracting the numerators while keeping the denominator the same. An example is provided to illustrate this concept. The video proceeds to simplify the given expression by distributing the negative sign and combining like terms, resulting in the final simplified expression: (7y - x)/15y.

Why is it important to have the same denominator when simplifying fractions?

• To change the fractions to whole numbers

• To ensure the fractions can be added or subtracted

• To make the numerators equal

• To simplify the numerators

What is the first step in simplifying the expression 6y/15y - (x-y)/15y?

• Subtract the numerators

• Divide the denominators

• Add the numerators

• Multiply the fractions

What operation is performed after subtracting the numerators in the expression?

• Distributing the negative sign

• Adding a constant

• Multiplying the result by the denominator

• Changing the denominator

When combining like terms in the expression, which terms are combined?

• x and 15y

• 6y and y

• x and y

• 6y and x

What is the final simplified form of the expression?

• 7y + x / 15y

• 6y - x / 15y

• 7x - y / 15y

• 7y - x / 15y