Solving Proportions and Fractions

This video tutorial explains how to solve proportions by using the method of clearing fractions. It covers two examples, each with different denominators, and demonstrates how to find the least common denominator, simplify the equation, and solve for the unknown variable. The video also shows how to express solutions as improper fractions and mixed numbers.

What is a proportion?

• A statement that two ratios are equal

• A type of fraction

• A comparison of two numbers by division

• A method to solve equations

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

• Divide both sides by the greatest common factor

• Add the numerators

• Subtract the denominators

• Multiply both sides by the least common denominator

In the first example, what is the least common denominator of 7 and x?

• 1

• x

• 7

• 7x

What is the solution of the first example as an improper fraction?

• 56/9

• 9/56

• 2/6

• 6/2

How is the improper fraction 56/9 expressed as a mixed number?

• 8 and 0/9

• 5 and 6/9

• 6 and 2/9

• 7 and 1/9

In the second example, what is the least common denominator of x and 6?

• 6x

• 1

• x

• 6

What is the solution of the second example as an improper fraction?

• 54/5

• 5/54

• 10/4

• 4/10

How is the improper fraction 54/5 expressed as a mixed number?

• 12 and 4/5

• 9 and 4/5

• 10 and 4/5

• 11 and 4/5

What is the common factor used to simplify the equation in the second example?

• 9

• x

• 6

• 5

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

• Multiply both sides by the greatest common factor

• Add the numerators

• Subtract the denominators

• Solve the resulting equation