Learn to solve a proportion with the variable on the denominator 9/g = 15/11

The video tutorial explains two methods to solve proportions: cross multiplication and an alternative method involving the reciprocal. The instructor first demonstrates cross multiplication, showing how to equate and solve for the variable. Then, an alternative method is introduced, which involves multiplying by the variable to remove it from the denominator and using the reciprocal to simplify the equation. The tutorial concludes with a summary of both methods, emphasizing understanding both approaches.

What is the first step in solving a proportion using cross multiplication?

• Add the numbers on both sides

• Multiply the numbers diagonally

• Subtract the smaller number from the larger

• Divide both sides by the same number

When a variable is in the denominator, what should you do to solve the equation?

• Subtract the variable from both sides

• Divide both sides by the variable

• Multiply both sides by the variable

• Add the variable to both sides

What is the purpose of multiplying by the reciprocal in an equation?

• To convert the fraction to a decimal

• To simplify the fraction

• To eliminate the variable

• To add fractions

Which method is preferred by most students for solving proportions?

• Eliminating the denominator

• Using reciprocals

• Adding fractions

• Cross multiplication

What is the result of multiplying 10 by 9 in the context of solving the equation?

• 100

• 19

• 90

• 99