Finding the Least Common Denominator in Rational Expressions

The video tutorial explains how to find the least common denominator (LCD) of two fractions by determining the least common multiple (LCM) of their denominators. It begins by defining multiples and their importance in finding the LCD. The tutorial then outlines the steps to calculate the LCM by creating multiples of each denominator and organizing them in a table. The process continues until a common multiple is found, which becomes the new common denominator. The video emphasizes the importance of organization and provides a practical approach to solving fraction problems.

What is the first step in finding the least common denominator of two fractions?

• Divide the two bottom numbers

• Subtract the two bottom numbers

• Add the two bottom numbers

• Find the multiples of the two bottom numbers

What is a multiple of a number?

• The result of multiplying it by another whole number

• The result of adding it to another number

• The result of dividing it by another number

• The result of subtracting it from another number

What do you do after finding the multiples of the two bottom numbers?

• Divide the multiples

• Add the multiples together

• Find the smallest common multiple

• Subtract the multiples

How can you keep the multiples organized?

• Write them randomly

• List them in a paragraph

• Memorize them

• Arrange them in a small table

When do you stop making multiples?

• When the multiples become too large

• When you get tired

• After making ten multiples

• When you find a common multiple

What is the least common multiple used for in this context?

• As the new common denominator

• As the new numerator

• As the new fraction

• As the new whole number