Proportion Solving Techniques Quiz

This video tutorial explains how to solve proportions by setting two fractions or ratios equal to each other. It introduces the concept of complex fractions and unknown variables. The tutorial demonstrates the method of clearing fractions by multiplying both sides of the equation by the least common denominator. Two examples are provided to illustrate the process, including detailed steps and simplifications. The solutions are presented in both fraction and mixed number forms.

What is a proportion in mathematical terms?

• A single fraction

• A fraction with a variable

• A ratio with no equal sign

• Two fractions set equal to each other

What is the first step in solving a proportion by clearing fractions?

• Divide both sides by the numerator

• Subtract the fractions

• Multiply both sides by the least common denominator

• Add the fractions

What should you do if you cannot determine the least common denominator?

• Divide the fractions

• Use the largest denominator

• Skip the problem

• Use any common denominator

In the first example, what is the least common denominator of 5 and 8?

• 40

• 50

• 30

• 20

What is the solution to the first example as a mixed number?

• 1 and 2/3

• 1 and 1/3

• 2 and 1/3

• 2 and 2/3

In the second example, what are the denominators involved?

• 4 and 9

• 3 and 7

• 5 and 8

• N and 37

What is the least common multiple of N and 37 in the second example?

• N / 37

• N - 37

• N * 37

• N + 37

What is the final solution for N in the second example?

• N = 37

• N = 47

• N = 57

• N = 67

What technique is reinforced for solving proportions with complex fractions?

• Subtracting fractions

• Adding fractions

• Dividing fractions

• Clearing fractions

What is the purpose of multiplying by the reciprocal in the examples?

• To add fractions

• To clear the numerator

• To divide fractions

• To simplify the equation