Subtracting Rational Expressions

This video tutorial teaches how to subtract rational expressions by drawing parallels to subtracting rational numbers. It begins with a review of fractions, explaining how to express them in different ways and find equivalent fractions. The lesson then covers the process of subtracting fractions by ensuring a common denominator, using examples to illustrate the method. Finally, the tutorial applies these principles to subtract rational expressions, demonstrating the steps to achieve a common denominator and simplify the expression.

What is the first step in expressing a fraction like 5/10?

• Divide the number line into 5 equal parts

• Count ten parts of the number line

• Split the number line into 10 equal parts

• Shade the entire number line

When subtracting fractions like 1/4 and 7/5, what must be ensured first?

• The numerators are equal

• The denominators are common

• The fractions are in simplest form

• The fractions are improper

How do you find a common denominator when subtracting fractions?

• Multiply each fraction by 1 using the other's denominator

• Add the numerators together

• Subtract the smaller denominator from the larger one

• Multiply each fraction by 2

What is the result of subtracting 5/20 from 38/20?

• 33/20

• -23/20

• -33/20

• 23/20

In subtracting rational expressions like 4x-5/7 and 2/3x^2, what is the first step?

• Ensure a common denominator

• Multiply the expressions by 2

• Simplify each expression

• Add the numerators directly