Fractions and Least Common Multiples

The video tutorial explains how to solve equations involving fractions by finding a common denominator. It starts with an introduction to the problem, followed by a detailed step-by-step solution to two different equations. The first equation involves adding fractions, while the second involves subtracting fractions. The tutorial emphasizes the importance of using the least common multiple to simplify the process and provides alternative methods to solve the equations.

What is the first step in solving an equation with fractions having different denominators?

• Multiply the fractions.

• Add the fractions directly.

• Find a common denominator.

• Subtract the fractions.

What is the least common multiple of 16 and 2?

• 4

• 32

• 8

• 16

How do you convert 3/2 to a fraction with a denominator of 16?

• Multiply both numerator and denominator by 8.

• Multiply both numerator and denominator by 4.

• Multiply both numerator and denominator by 2.

• Multiply both numerator and denominator by 16.

What is the missing value in the equation: blank + 11/16 = 24/16?

• 23/16

• 21/16

• 13/16

• 25/16

In the new problem, what is the least common multiple of 3 and 4?

• 15

• 9

• 12

• 6

How do you convert 2/3 to a fraction with a denominator of 12?

• Multiply both numerator and denominator by 4.

• Multiply both numerator and denominator by 6.

• Multiply both numerator and denominator by 3.

• Multiply both numerator and denominator by 2.

What is the equivalent of 3/4 when expressed with a denominator of 12?

• 10/12

• 8/12

• 9/12

• 6/12

What is the missing value in the equation: blank - 3/4 = 2/3?

• 15/12

• 17/12

• 19/12

• 13/12

What is the result of adding 8/12 and 9/12?

• 18/12

• 16/12

• 17/12

• 15/12

If you have 17/12 and subtract 9/12, what is the result?

• 8/12

• 6/12

• 9/12

• 7/12